Deck 3: Radian Measure

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Question
Find θ , if <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240   <div style=padding-top: 35px> and ​ <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240   <div style=padding-top: 35px> and  θ in QIV ​

A)300 <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240   <div style=padding-top: 35px>
B)60 <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240   <div style=padding-top: 35px>
C)120 <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240   <div style=padding-top: 35px>
D)45 <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240   <div style=padding-top: 35px>
E)240 <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240   <div style=padding-top: 35px>
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Question
Find the exact value of  <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value of sin 300º. ​

A) <strong>Find the exact value of sin 300º. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of sin 300º. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of sin 300º. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of sin 300º. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of sin 300º. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a calculator to find <strong>Use a calculator to find   Please round the answer to the nearest ten-thousandth. ​</strong> A)-1.2386 B)-1.2258 C)-1.2458 D)-1.2257 E)-1.2558 <div style=padding-top: 35px> Please round the answer to the nearest ten-thousandth. ​

A)-1.2386
B)-1.2258
C)-1.2458
D)-1.2257
E)-1.2558
Question
Use a calculator to find  <strong>Use a calculator to find    Please round the answer to the nearest thousandth. ​</strong> A)0.989 B)0.956 C)0.986 D)0.936 E)0.958 <div style=padding-top: 35px> Please round the answer to the nearest thousandth. ​

A)0.989
B)0.956
C)0.986
D)0.936
E)0.958
Question
Use a calculator to find θ to the nearest tenth of a degree, if  <strong>Use a calculator to find θ to the nearest tenth of a degree, if    and ​   with  θ in QIII ​</strong> A)201.3º B)200.1 º ​ C)196.8 º D)194.8 º E)197.8 º <div style=padding-top: 35px> and ​ <strong>Use a calculator to find θ to the nearest tenth of a degree, if    and ​   with  θ in QIII ​</strong> A)201.3º B)200.1 º ​ C)196.8 º D)194.8 º E)197.8 º <div style=padding-top: 35px> with  θ in QIII ​

A)201.3º
B)200.1 º ​
C)196.8 º
D)194.8 º
E)197.8 º
Question
Use a calculator to find <strong>Use a calculator to find   Please round the answer to the nearest ten-thousandth. ​</strong> A)0.9064 B)0.9063 C)0.8843 D)0.8863 E)0.9363 <div style=padding-top: 35px> Please round the answer to the nearest ten-thousandth. ​

A)0.9064
B)0.9063
C)0.8843
D)0.8863
E)0.9363
Question
Find θ , if <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300   <div style=padding-top: 35px> and ​ <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300   <div style=padding-top: 35px> and  θ in QI ​

A)60 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300   <div style=padding-top: 35px>
B)120 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300   <div style=padding-top: 35px>
C)240 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300   <div style=padding-top: 35px>
D)45 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300   <div style=padding-top: 35px>
E)300 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300   <div style=padding-top: 35px>
Question
Use a calculator to find θ  to the nearest tenth of a degree, if  <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5   <div style=padding-top: 35px>  and ​ <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5   <div style=padding-top: 35px> with θ  in QII ​

A)127.5 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5   <div style=padding-top: 35px>
B)130.0 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5   <div style=padding-top: 35px>
C)126.5 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5   <div style=padding-top: 35px>
D)124.2 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5   <div style=padding-top: 35px>
E)129.5 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5   <div style=padding-top: 35px>
Question
Draw the following angle in standard position and then name the reference angle. <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>

A)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px> <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>   ​
B)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>    ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>   ​
C)​ ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px> <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>
D)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>    ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>
E)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>   ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>
Question
Use a calculator to find <strong>Use a calculator to find   Please round the answer to the nearest ten-thousandth. ​</strong> A)-5.3530 B)-5.3960 C)-5.3863 D)-5.4360 E)-5.3860 <div style=padding-top: 35px> Please round the answer to the nearest ten-thousandth. ​

A)-5.3530
B)-5.3960
C)-5.3863
D)-5.4360
E)-5.3860
Question
Find θ , if <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300   <div style=padding-top: 35px> and ​ <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300   <div style=padding-top: 35px> and  θ in QI ​

A)210 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300   <div style=padding-top: 35px>
B)30 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300   <div style=padding-top: 35px>
C)120 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300   <div style=padding-top: 35px>
D)45 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300   <div style=padding-top: 35px>
E)300 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300   <div style=padding-top: 35px>
Question
Use a calculator to find θ  to the nearest tenth of a degree, if <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0   <div style=padding-top: 35px> and ​ <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0   <div style=padding-top: 35px> with  θ in QII ​

A)103.5 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0   <div style=padding-top: 35px>
B)104.7 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0   <div style=padding-top: 35px>
C)107.0 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0   <div style=padding-top: 35px>
D)108.0 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0   <div style=padding-top: 35px>
E)110.0 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0   <div style=padding-top: 35px>
Question
Use a calculator to find θ  to the nearest tenth of a degree, if <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8   <div style=padding-top: 35px> and ​ <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8   <div style=padding-top: 35px>   with θ  in QIII ​

A)217.5 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8   <div style=padding-top: 35px>
B)219.8 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8   <div style=padding-top: 35px>
C)218.8 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8   <div style=padding-top: 35px>
D)216.3 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8   <div style=padding-top: 35px>
E)216.8 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8   <div style=padding-top: 35px>
Question
Use a calculator to find Use a calculator to find   Please round the answer to the nearest thousandth.<div style=padding-top: 35px> Please round the answer to the nearest thousandth.
Question
Use a calculator to find  <strong>Use a calculator to find    Please round the answer to the nearest ten-thousandth. ​</strong> A)-0.7893 B)-0.7563 C)-0.7863 D)-0.7463 E)-0.7562 <div style=padding-top: 35px> Please round the answer to the nearest ten-thousandth. ​

A)-0.7893
B)-0.7563
C)-0.7863
D)-0.7463
E)-0.7562
Question
Find the exact value of  <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find θ , if <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45   <div style=padding-top: 35px>  and ​ <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45   <div style=padding-top: 35px> with θ  in QIV ​

A)330 <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45   <div style=padding-top: 35px>
B)300 <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45   <div style=padding-top: 35px>
C)240 <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45   <div style=padding-top: 35px>
D)120 <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45   <div style=padding-top: 35px>
E)45 <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45   <div style=padding-top: 35px>
Question
Draw the following angle in standard position and then name the reference angle. <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>

A)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px> <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>   ​
B)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>    ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>   ​
C)​ ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px> <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>
D)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>    ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>
E)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>   ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <div style=padding-top: 35px>
Question
Find the exact value of cos 135º. ​

A)​ <strong>Find the exact value of cos 135º. ​</strong> A)​   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of cos 135º. ​</strong> A)​   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of cos 135º. ​</strong> A)​   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of cos 135º. ​</strong> A)​   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of cos 135º. ​</strong> A)​   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a calculator to find Use a calculator to find   Please round the answer to the nearest ten-thousandth.<div style=padding-top: 35px> Please round the answer to the nearest ten-thousandth.
Question
Convert to radian measure using exact values. θ = 340°

A) <strong>Convert to radian measure using exact values. θ = 340° ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Convert to radian measure using exact values. θ = 340° ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Convert to radian measure using exact values. θ = 340° ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Convert to radian measure using exact values. θ = 340° ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Convert to radian measure using exact values. θ = 340° ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a calculator to find tan 143.8°. Please round the answer to the nearest ten-thousandth.
Question
Use a calculator to find θ  to the nearest tenth of a degree, if Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________  <div style=padding-top: 35px> and ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________  <div style=padding-top: 35px> with θ  in QIII ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________  <div style=padding-top: 35px> __________ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________  <div style=padding-top: 35px>
Question
Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s . <strong>Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm ​</strong> A)   B)4 C)   D)   E)5 <div style=padding-top: 35px>  cm, <strong>Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm ​</strong> A)   B)4 C)   D)   E)5 <div style=padding-top: 35px>  cm ​

A) <strong>Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm ​</strong> A)   B)4 C)   D)   E)5 <div style=padding-top: 35px>
B)4
C) <strong>Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm ​</strong> A)   B)4 C)   D)   E)5 <div style=padding-top: 35px>
D) <strong>Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm ​</strong> A)   B)4 C)   D)   E)5 <div style=padding-top: 35px>
E)5
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Find the exact value of Find the exact value of   .<div style=padding-top: 35px> .
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Find the exact value of Find the exact value of   .<div style=padding-top: 35px> .
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Use a calculator to find θ  to the nearest tenth of a degree, if Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QII ​   __________°<div style=padding-top: 35px> and ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QII ​   __________°<div style=padding-top: 35px> with θ  in QII ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QII ​   __________°<div style=padding-top: 35px> __________°
Question
Find θ , if Find θ , if   and ​   and  θ in QIV ​   __________°<div style=padding-top: 35px> and ​ Find θ , if   and ​   and  θ in QIV ​   __________°<div style=padding-top: 35px> and  θ in QIV ​ Find θ , if   and ​   and  θ in QIV ​   __________°<div style=padding-top: 35px> __________°
Question
Use a calculator to find θ  to the nearest tenth of a degree, if Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​   __________°<div style=padding-top: 35px> and ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​   __________°<div style=padding-top: 35px> with  θ in QII ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​   __________°<div style=padding-top: 35px> __________°
Question
Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s . r = 4 inches, s = 20 inches ​

A)5
B)6
C)2
D)3
E)1
Question
Find θ , if Find θ , if   and ​   with  θ in QI ​   __________°<div style=padding-top: 35px> and ​ Find θ , if   and ​   with  θ in QI ​   __________°<div style=padding-top: 35px> with  θ in QI ​ Find θ , if   and ​   with  θ in QI ​   __________°<div style=padding-top: 35px> __________°
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Find the exact value of Find the exact value of   Express your answer in simplified form. Do not convert to decimal form.<div style=padding-top: 35px> Express your answer in simplified form. Do not convert to decimal form.
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Find the exact value of Find the exact value of   .<div style=padding-top: 35px> .
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Find θ , if   Find θ , if     and ​   and θ  in QIII ​   __________ °<div style=padding-top: 35px> and ​ Find θ , if     and ​   and θ  in QIII ​   __________ °<div style=padding-top: 35px> and θ  in QIII ​ Find θ , if     and ​   and θ  in QIII ​   __________ °<div style=padding-top: 35px> __________ °
Question
Use a calculator to find θ  to the nearest tenth of a degree, if Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________°<div style=padding-top: 35px> and ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________°<div style=padding-top: 35px> with θ  in QIII ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________°<div style=padding-top: 35px> __________°
Question
Name the reference angle in both degrees and radians. θ = 170°

A) <strong>Name the reference angle in both degrees and radians. θ = 170° ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Name the reference angle in both degrees and radians. θ = 170° ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Name the reference angle in both degrees and radians. θ = 170° ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Name the reference angle in both degrees and radians. θ = 170° ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Name the reference angle in both degrees and radians. θ = 170° ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a calculator to find Use a calculator to find   Please round the answer to the nearest ten-thousandth.<div style=padding-top: 35px> Please round the answer to the nearest ten-thousandth.
Question
Use a calculator to find Use a calculator to find   Please round the answer to the nearest ten-thousandth.<div style=padding-top: 35px> Please round the answer to the nearest ten-thousandth.
Question
Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. <strong>Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side.   a = 600 miles ​</strong> A)0.14 radians B)0.135 radians C)0.15 radians D)0.145 radians E)0.13 radians <div style=padding-top: 35px> a = 600 miles ​

A)0.14 radians
B)0.135 radians
C)0.15 radians
D)0.145 radians
E)0.13 radians
Question
Through how many radians does the minute hand of a clock turn during a 5-minute period? ​

A) <strong>Through how many radians does the minute hand of a clock turn during a 5-minute period? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Through how many radians does the minute hand of a clock turn during a 5-minute period? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Through how many radians does the minute hand of a clock turn during a 5-minute period? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Through how many radians does the minute hand of a clock turn during a 5-minute period? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Through how many radians does the minute hand of a clock turn during a 5-minute period? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Give the exact value of Give the exact value of   .<div style=padding-top: 35px> .
Question
Label the reference angle in both degrees and radians. <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Give the exact value of <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​   <div style=padding-top: 35px> . ​

A) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​   <div style=padding-top: 35px>
B) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​   <div style=padding-top: 35px>
C) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​   <div style=padding-top: 35px>
D) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​   <div style=padding-top: 35px>
E)​ <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​   <div style=padding-top: 35px>
Question
Evaluate the expression when x is Evaluate the expression when x is   . Use exact values. 3 cos 6 x<div style=padding-top: 35px> . Use exact values. 3 cos 6 x
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Give the exact value of Give the exact value of   .<div style=padding-top: 35px> .
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Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s . Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm θ =  __________ radians<div style=padding-top: 35px>  cm, Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm θ =  __________ radians<div style=padding-top: 35px>  cm
θ =  __________ radians
Question
Through how many radians does the minute hand of a clock turn during a 6-minute period?
Question
For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ). For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for   <div style=padding-top: 35px>  for  For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for   <div style=padding-top: 35px>
Question
Give the exact value of <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Give the exact value of Give the exact value of   .<div style=padding-top: 35px> .
Question
Two cities are approximately 550 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. Two cities are approximately 550 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side.   a = 550 __________ radians<div style=padding-top: 35px> a = 550 __________ radians
Question
Evaluate the expression when x is <strong>Evaluate the expression when x is   . Use exact values. 7 cos 3 x ​</strong> A)0 B)7 C)3 D)2 E)-3 <div style=padding-top: 35px> . Use exact values. 7 cos 3 x

A)0
B)7
C)3
D)2
E)-3
Question
For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ). <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px>  for  <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px>

A) <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px>
B) <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px>
C)​ <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px>
D)​ <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px>
E)​ <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px> <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <div style=padding-top: 35px>
Question
Give the exact value of <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the unit circle to find the six trigonometric functions of 240°. ​

A)​ <strong>Use the unit circle to find the six trigonometric functions of 240°. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the unit circle to find the six trigonometric functions of 240°. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the unit circle to find the six trigonometric functions of 240°. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the unit circle to find the six trigonometric functions of 240°. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the unit circle to find the six trigonometric functions of 240°. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Convert to degree measure. <strong>Convert to degree measure.   ​</strong> A)170° B)110° C)135° D)140° E)150° <div style=padding-top: 35px>

A)170°
B)110°
C)135°
D)140°
E)150°
Question
Use a calculator to convert 100°10' to radians. Round your answer to the nearest hundredth. (First convert to decimal degrees, then multiply by the appropriate conversion factor to convert to radians.) ​

A)1.77
B)1.75
C)1.71
D)1.81
E)1.83
Question
Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .
r = 5 inches, s = 25 inches
θ =  __________ radians
Question
Use a calculator to convert 150°50' to radians. Round your answer to the nearest hundredth. (First convert to decimal degrees, then multiply by the appropriate conversion factor to convert to radians.)__________ radians
Question
Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​

A) <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find all values of t between 0 and 2 π  satisfying the following statement. Round your answers to the nearest ten-thousandth.   ​   __________<div style=padding-top: 35px> . Trace the circle to find all values of t between 0 and 2 π  satisfying the following statement. Round your answers to the nearest ten-thousandth. Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find all values of t between 0 and 2 π  satisfying the following statement. Round your answers to the nearest ten-thousandth.   ​   __________<div style=padding-top: 35px> Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find all values of t between 0 and 2 π  satisfying the following statement. Round your answers to the nearest ten-thousandth.   ​   __________<div style=padding-top: 35px> __________
Question
If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression. <strong>If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression.   ​</strong> A)   B)​   C)​   D)​-1 E)​1 <div style=padding-top: 35px>

A) <strong>If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression.   ​</strong> A)   B)​   C)​   D)​-1 E)​1 <div style=padding-top: 35px>
B)​ <strong>If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression.   ​</strong> A)   B)​   C)​   D)​-1 E)​1 <div style=padding-top: 35px>
C)​ <strong>If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression.   ​</strong> A)   B)​   C)​   D)​-1 E)​1 <div style=padding-top: 35px>
D)​-1
E)​1
Question
Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement. Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement.   ​   __________<div style=padding-top: 35px> Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement.   ​   __________<div style=padding-top: 35px> __________
Question
Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find all values of t between 0 and 2 π satisfying the following statement. Round your answers to the nearest ten-thousandth.   ​</strong> A)​​t ​ = 0.5236, 2.8338 B)​​t ​ = 0.5236, 2.618 C)​​t ​ = 0.647, 2.8338 D)​t = 2.618, 0.647 E)​​t ​ = 0.5236, 0.647 <div style=padding-top: 35px> . Trace the circle to find all values of t between 0 and 2 π satisfying the following statement. Round your answers to the nearest ten-thousandth. <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find all values of t between 0 and 2 π satisfying the following statement. Round your answers to the nearest ten-thousandth.   ​</strong> A)​​t ​ = 0.5236, 2.8338 B)​​t ​ = 0.5236, 2.618 C)​​t ​ = 0.647, 2.8338 D)​t = 2.618, 0.647 E)​​t ​ = 0.5236, 0.647 <div style=padding-top: 35px>

A)​​t ​ = 0.5236, 2.8338
B)​​t ​ = 0.5236, 2.618
C)​​t ​ = 0.647, 2.8338
D)​t = 2.618, 0.647
E)​​t ​ = 0.5236, 0.647
Question
Use the unit circle to find all values of θ  between 0 and 2 π  for which <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . ​

A) <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . Trace the circle to find the sine and cosine of <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  to the nearest ten-thousandth. ​

A)​ <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Use the unit circle to find the six trigonometric functions of <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . ​

A)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Use the unit circle to find the six trigonometric functions of <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . ​

A)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Use the unit circle to find all values of θ  between 0 and 2 π  for which Use the unit circle to find all values of θ  between 0 and 2 π  for which   .<div style=padding-top: 35px> .
Question
Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement. <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement.   ​</strong> A)55°, 155° B)60°, 300° C)60°, 150° D)210°, 150° E)210°, 300° <div style=padding-top: 35px>

A)55°, 155°
B)60°, 300°
C)60°, 150°
D)210°, 150°
E)210°, 300°
Question
If angle θ  is in standard position and intersects the unit circle at <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  find <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  and <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . ​

A) <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Use the unit circle to find all values of θ  between 0 and 2 π  for which Use the unit circle to find all values of θ  between 0 and 2 π  for which   .<div style=padding-top: 35px> .
Question
If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression. If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression.  <div style=padding-top: 35px>
Question
Use the unit circle to find all values of θ  between 0 and 2 π  for which Use the unit circle to find all values of θ  between 0 and 2 π  for which   .<div style=padding-top: 35px> .
Question
Use the unit circle to find all values of θ  between 0 and 2 π  for which <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . ​

A) <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth.   __________ ​   __________<div style=padding-top: 35px> . Trace the circle to find the sine and cosine of Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth.   __________ ​   __________<div style=padding-top: 35px>  to the nearest ten-thousandth. Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth.   __________ ​   __________<div style=padding-top: 35px> __________ ​ Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth.   __________ ​   __________<div style=padding-top: 35px> __________
Question
Use the unit circle to find all values of θ  between 0 and 2 π  for which Use the unit circle to find all values of θ  between 0 and 2 π  for which   .<div style=padding-top: 35px> .
Question
Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth.
265° ​ Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 265° ​   __________ ​   __________<div style=padding-top: 35px> __________ ​ Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 265° ​   __________ ​   __________<div style=padding-top: 35px> __________
Question
Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement. <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement.   ​</strong> A)125°, 305° B)140°, 315° C)140°, 310° D)135°, 310° E)135°, 315° <div style=padding-top: 35px>

A)125°, 305°
B)140°, 315°
C)140°, 310°
D)135°, 310°
E)135°, 315°
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Deck 3: Radian Measure
1
Find θ , if <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240   and ​ <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240   and  θ in QIV ​

A)300 <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240
B)60 <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240
C)120 <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240
D)45 <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240
E)240 <strong>Find θ , if   and ​   and  θ in QIV ​</strong> A)300   B)60   ​ C)120   D)45   E)240
300 300
2
Find the exact value of  <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)
3
Find the exact value of sin 300º. ​

A) <strong>Find the exact value of sin 300º. ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of sin 300º. ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of sin 300º. ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of sin 300º. ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of sin 300º. ​</strong> A)   B)   C)   D)   E)
4
Use a calculator to find <strong>Use a calculator to find   Please round the answer to the nearest ten-thousandth. ​</strong> A)-1.2386 B)-1.2258 C)-1.2458 D)-1.2257 E)-1.2558 Please round the answer to the nearest ten-thousandth. ​

A)-1.2386
B)-1.2258
C)-1.2458
D)-1.2257
E)-1.2558
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5
Use a calculator to find  <strong>Use a calculator to find    Please round the answer to the nearest thousandth. ​</strong> A)0.989 B)0.956 C)0.986 D)0.936 E)0.958 Please round the answer to the nearest thousandth. ​

A)0.989
B)0.956
C)0.986
D)0.936
E)0.958
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6
Use a calculator to find θ to the nearest tenth of a degree, if  <strong>Use a calculator to find θ to the nearest tenth of a degree, if    and ​   with  θ in QIII ​</strong> A)201.3º B)200.1 º ​ C)196.8 º D)194.8 º E)197.8 º and ​ <strong>Use a calculator to find θ to the nearest tenth of a degree, if    and ​   with  θ in QIII ​</strong> A)201.3º B)200.1 º ​ C)196.8 º D)194.8 º E)197.8 º with  θ in QIII ​

A)201.3º
B)200.1 º ​
C)196.8 º
D)194.8 º
E)197.8 º
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7
Use a calculator to find <strong>Use a calculator to find   Please round the answer to the nearest ten-thousandth. ​</strong> A)0.9064 B)0.9063 C)0.8843 D)0.8863 E)0.9363 Please round the answer to the nearest ten-thousandth. ​

A)0.9064
B)0.9063
C)0.8843
D)0.8863
E)0.9363
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8
Find θ , if <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300   and ​ <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300   and  θ in QI ​

A)60 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300
B)120 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300
C)240 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300
D)45 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300
E)300 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)60   B)120   ​ C)240   D)45   E)300
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9
Use a calculator to find θ  to the nearest tenth of a degree, if  <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5    and ​ <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5   with θ  in QII ​

A)127.5 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5
B)130.0 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5
C)126.5 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5
D)124.2 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5
E)129.5 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if     and ​   with θ  in QII ​</strong> A)127.5   B)130.0   C)126.5   D)124.2   E)129.5
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10
Draw the following angle in standard position and then name the reference angle. <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​

A)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​     ​
B)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​      ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​     ​
C)​ ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​
D)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​      ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​
E)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​     ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​
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11
Use a calculator to find <strong>Use a calculator to find   Please round the answer to the nearest ten-thousandth. ​</strong> A)-5.3530 B)-5.3960 C)-5.3863 D)-5.4360 E)-5.3860 Please round the answer to the nearest ten-thousandth. ​

A)-5.3530
B)-5.3960
C)-5.3863
D)-5.4360
E)-5.3860
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12
Find θ , if <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300   and ​ <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300   and  θ in QI ​

A)210 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300
B)30 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300
C)120 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300
D)45 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300
E)300 <strong>Find θ , if   and ​   and  θ in QI ​</strong> A)210   B)30   C)120   D)45   E)300
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13
Use a calculator to find θ  to the nearest tenth of a degree, if <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0   and ​ <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0   with  θ in QII ​

A)103.5 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0
B)104.7 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0
C)107.0 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0
D)108.0 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0
E)110.0 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​</strong> A)103.5   B)104.7   C)107.0   D)108.0   E)110.0
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14
Use a calculator to find θ  to the nearest tenth of a degree, if <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8   and ​ <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8     with θ  in QIII ​

A)217.5 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8
B)219.8 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8
C)218.8 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8
D)216.3 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8
E)216.8 <strong>Use a calculator to find θ  to the nearest tenth of a degree, if   and ​     with θ  in QIII ​ ​</strong> A)217.5   B)219.8   C)218.8   D)216.3   E)216.8
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15
Use a calculator to find Use a calculator to find   Please round the answer to the nearest thousandth. Please round the answer to the nearest thousandth.
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16
Use a calculator to find  <strong>Use a calculator to find    Please round the answer to the nearest ten-thousandth. ​</strong> A)-0.7893 B)-0.7563 C)-0.7863 D)-0.7463 E)-0.7562 Please round the answer to the nearest ten-thousandth. ​

A)-0.7893
B)-0.7563
C)-0.7863
D)-0.7463
E)-0.7562
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17
Find the exact value of  <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of    . ​</strong> A)   B)   C)   D)   E)
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18
Find θ , if <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45    and ​ <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45   with θ  in QIV ​

A)330 <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45
B)300 <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45
C)240 <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45
D)120 <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45
E)45 <strong>Find θ , if    and ​   with θ  in QIV ​</strong> A)330   B)300   C)240   D)120   E)45
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19
Draw the following angle in standard position and then name the reference angle. <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​

A)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​     ​
B)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​      ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​     ​
C)​ ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​   <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​
D)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​      ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​
E)​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​     ​ <strong>Draw the following angle in standard position and then name the reference angle.   ​</strong> A)​   ​     ​ B)​      ​     ​ C)​ ​   ​   D)​      ​   E)​     ​
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20
Find the exact value of cos 135º. ​

A)​ <strong>Find the exact value of cos 135º. ​</strong> A)​   B)   C)   D)   E)
B) <strong>Find the exact value of cos 135º. ​</strong> A)​   B)   C)   D)   E)
C) <strong>Find the exact value of cos 135º. ​</strong> A)​   B)   C)   D)   E)
D) <strong>Find the exact value of cos 135º. ​</strong> A)​   B)   C)   D)   E)
E) <strong>Find the exact value of cos 135º. ​</strong> A)​   B)   C)   D)   E)
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21
Use a calculator to find Use a calculator to find   Please round the answer to the nearest ten-thousandth. Please round the answer to the nearest ten-thousandth.
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22
Convert to radian measure using exact values. θ = 340°

A) <strong>Convert to radian measure using exact values. θ = 340° ​</strong> A)   B)   C)   D)   E)
B) <strong>Convert to radian measure using exact values. θ = 340° ​</strong> A)   B)   C)   D)   E)
C) <strong>Convert to radian measure using exact values. θ = 340° ​</strong> A)   B)   C)   D)   E)
D) <strong>Convert to radian measure using exact values. θ = 340° ​</strong> A)   B)   C)   D)   E)
E) <strong>Convert to radian measure using exact values. θ = 340° ​</strong> A)   B)   C)   D)   E)
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23
Use a calculator to find tan 143.8°. Please round the answer to the nearest ten-thousandth.
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24
Use a calculator to find θ  to the nearest tenth of a degree, if Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________  and ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________  with θ  in QIII ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________  __________ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________
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25
Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s . <strong>Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm ​</strong> A)   B)4 C)   D)   E)5  cm, <strong>Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm ​</strong> A)   B)4 C)   D)   E)5  cm ​

A) <strong>Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm ​</strong> A)   B)4 C)   D)   E)5
B)4
C) <strong>Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm ​</strong> A)   B)4 C)   D)   E)5
D) <strong>Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm ​</strong> A)   B)4 C)   D)   E)5
E)5
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26
Find the exact value of Find the exact value of   . .
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27
Find the exact value of Find the exact value of   . .
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28
Use a calculator to find θ  to the nearest tenth of a degree, if Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QII ​   __________° and ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QII ​   __________° with θ  in QII ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QII ​   __________° __________°
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29
Find θ , if Find θ , if   and ​   and  θ in QIV ​   __________° and ​ Find θ , if   and ​   and  θ in QIV ​   __________° and  θ in QIV ​ Find θ , if   and ​   and  θ in QIV ​   __________° __________°
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30
Use a calculator to find θ  to the nearest tenth of a degree, if Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​   __________° and ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​   __________° with  θ in QII ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with  θ in QII ​   __________° __________°
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31
Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s . r = 4 inches, s = 20 inches ​

A)5
B)6
C)2
D)3
E)1
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32
Find θ , if Find θ , if   and ​   with  θ in QI ​   __________° and ​ Find θ , if   and ​   with  θ in QI ​   __________° with  θ in QI ​ Find θ , if   and ​   with  θ in QI ​   __________° __________°
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33
Find the exact value of Find the exact value of   Express your answer in simplified form. Do not convert to decimal form. Express your answer in simplified form. Do not convert to decimal form.
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34
Find the exact value of Find the exact value of   . .
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35
Find θ , if   Find θ , if     and ​   and θ  in QIII ​   __________ ° and ​ Find θ , if     and ​   and θ  in QIII ​   __________ ° and θ  in QIII ​ Find θ , if     and ​   and θ  in QIII ​   __________ ° __________ °
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36
Use a calculator to find θ  to the nearest tenth of a degree, if Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________° and ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________° with θ  in QIII ​ Use a calculator to find θ  to the nearest tenth of a degree, if   and ​   with θ  in QIII ​   __________° __________°
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37
Name the reference angle in both degrees and radians. θ = 170°

A) <strong>Name the reference angle in both degrees and radians. θ = 170° ​</strong> A)   B)   C)   D)   E)
B) <strong>Name the reference angle in both degrees and radians. θ = 170° ​</strong> A)   B)   C)   D)   E)
C) <strong>Name the reference angle in both degrees and radians. θ = 170° ​</strong> A)   B)   C)   D)   E)
D) <strong>Name the reference angle in both degrees and radians. θ = 170° ​</strong> A)   B)   C)   D)   E)
E) <strong>Name the reference angle in both degrees and radians. θ = 170° ​</strong> A)   B)   C)   D)   E)
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38
Use a calculator to find Use a calculator to find   Please round the answer to the nearest ten-thousandth. Please round the answer to the nearest ten-thousandth.
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39
Use a calculator to find Use a calculator to find   Please round the answer to the nearest ten-thousandth. Please round the answer to the nearest ten-thousandth.
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40
Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. <strong>Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side.   a = 600 miles ​</strong> A)0.14 radians B)0.135 radians C)0.15 radians D)0.145 radians E)0.13 radians a = 600 miles ​

A)0.14 radians
B)0.135 radians
C)0.15 radians
D)0.145 radians
E)0.13 radians
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41
Through how many radians does the minute hand of a clock turn during a 5-minute period? ​

A) <strong>Through how many radians does the minute hand of a clock turn during a 5-minute period? ​</strong> A)   B)   C)   D)   E)
B) <strong>Through how many radians does the minute hand of a clock turn during a 5-minute period? ​</strong> A)   B)   C)   D)   E)
C) <strong>Through how many radians does the minute hand of a clock turn during a 5-minute period? ​</strong> A)   B)   C)   D)   E)
D) <strong>Through how many radians does the minute hand of a clock turn during a 5-minute period? ​</strong> A)   B)   C)   D)   E)
E) <strong>Through how many radians does the minute hand of a clock turn during a 5-minute period? ​</strong> A)   B)   C)   D)   E)
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42
Give the exact value of Give the exact value of   . .
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43
Label the reference angle in both degrees and radians. <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Label the reference angle in both degrees and radians.   ​</strong> A)   B)   C)   D)   E)
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44
Give the exact value of <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​   . ​

A) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​
B) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​
C) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​
D) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​
E)​ <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)​
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45
Evaluate the expression when x is Evaluate the expression when x is   . Use exact values. 3 cos 6 x . Use exact values. 3 cos 6 x
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46
Give the exact value of Give the exact value of   . .
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47
Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s . Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm θ =  __________ radians  cm, Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .    cm,    cm θ =  __________ radians  cm
θ =  __________ radians
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48
Through how many radians does the minute hand of a clock turn during a 6-minute period?
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49
For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ). For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    for  For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for 
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50
Give the exact value of <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)
B) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)
C) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)
D) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)
E) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)
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51
Give the exact value of Give the exact value of   . .
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52
Two cities are approximately 550 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. Two cities are approximately 550 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side.   a = 550 __________ radians a = 550 __________ radians
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53
Evaluate the expression when x is <strong>Evaluate the expression when x is   . Use exact values. 7 cos 3 x ​</strong> A)0 B)7 C)3 D)2 E)-3 . Use exact values. 7 cos 3 x

A)0
B)7
C)3
D)2
E)-3
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54
For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ). <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,     for  <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    , 

A) <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    , 
B) <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    , 
C)​ <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    , 
D)​ <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    , 
E)​ <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    ,    <strong>For the following expression, find the value of y that corresponds to each value of x , then write your results as ordered pairs ( x, y ).    for    ​</strong> A)   ,    ,    ,    ,    B)   ,    ,    ,    ,    C)​   ,    ,    ,    ,    D)​   ,    ,    ,    ,    E)​   ,    ,    ,    , 
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55
Give the exact value of <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)
B) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)
C) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)
D) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)
E) <strong>Give the exact value of   . ​</strong> A)   B)   C)   D)   E)
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56
Use the unit circle to find the six trigonometric functions of 240°. ​

A)​ <strong>Use the unit circle to find the six trigonometric functions of 240°. ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the unit circle to find the six trigonometric functions of 240°. ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the unit circle to find the six trigonometric functions of 240°. ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the unit circle to find the six trigonometric functions of 240°. ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the unit circle to find the six trigonometric functions of 240°. ​</strong> A)​   B)​   C)​   D)​   E)​
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57
Convert to degree measure. <strong>Convert to degree measure.   ​</strong> A)170° B)110° C)135° D)140° E)150°

A)170°
B)110°
C)135°
D)140°
E)150°
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58
Use a calculator to convert 100°10' to radians. Round your answer to the nearest hundredth. (First convert to decimal degrees, then multiply by the appropriate conversion factor to convert to radians.) ​

A)1.77
B)1.75
C)1.71
D)1.81
E)1.83
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59
Find the radian measure of angle θ , if θ  is a central angle in a circle of radius r , and θ  cuts off an arc of length s .
r = 5 inches, s = 25 inches
θ =  __________ radians
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60
Use a calculator to convert 150°50' to radians. Round your answer to the nearest hundredth. (First convert to decimal degrees, then multiply by the appropriate conversion factor to convert to radians.)__________ radians
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61
Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​

A) <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​</strong> A)   B)​   C)​   D)​   E)​
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62
Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find all values of t between 0 and 2 π  satisfying the following statement. Round your answers to the nearest ten-thousandth.   ​   __________ . Trace the circle to find all values of t between 0 and 2 π  satisfying the following statement. Round your answers to the nearest ten-thousandth. Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find all values of t between 0 and 2 π  satisfying the following statement. Round your answers to the nearest ten-thousandth.   ​   __________Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find all values of t between 0 and 2 π  satisfying the following statement. Round your answers to the nearest ten-thousandth.   ​   __________ __________
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63
If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression. <strong>If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression.   ​</strong> A)   B)​   C)​   D)​-1 E)​1

A) <strong>If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression.   ​</strong> A)   B)​   C)​   D)​-1 E)​1
B)​ <strong>If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression.   ​</strong> A)   B)​   C)​   D)​-1 E)​1
C)​ <strong>If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression.   ​</strong> A)   B)​   C)​   D)​-1 E)​1
D)​-1
E)​1
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64
Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement. Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement.   ​   __________Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement.   ​   __________ __________
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65
Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find all values of t between 0 and 2 π satisfying the following statement. Round your answers to the nearest ten-thousandth.   ​</strong> A)​​t ​ = 0.5236, 2.8338 B)​​t ​ = 0.5236, 2.618 C)​​t ​ = 0.647, 2.8338 D)​t = 2.618, 0.647 E)​​t ​ = 0.5236, 0.647 . Trace the circle to find all values of t between 0 and 2 π satisfying the following statement. Round your answers to the nearest ten-thousandth. <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find all values of t between 0 and 2 π satisfying the following statement. Round your answers to the nearest ten-thousandth.   ​</strong> A)​​t ​ = 0.5236, 2.8338 B)​​t ​ = 0.5236, 2.618 C)​​t ​ = 0.647, 2.8338 D)​t = 2.618, 0.647 E)​​t ​ = 0.5236, 0.647

A)​​t ​ = 0.5236, 2.8338
B)​​t ​ = 0.5236, 2.618
C)​​t ​ = 0.647, 2.8338
D)​t = 2.618, 0.647
E)​​t ​ = 0.5236, 0.647
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66
Use the unit circle to find all values of θ  between 0 and 2 π  for which <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   . ​

A) <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​
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67
Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​   . Trace the circle to find the sine and cosine of <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​    to the nearest ten-thousandth. ​

A)​ <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth. ​</strong> A)​   B)​   C)​   D)​   E)​
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68
Use the unit circle to find the six trigonometric functions of <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   . ​

A)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​
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69
Use the unit circle to find the six trigonometric functions of <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​   . ​

A)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the unit circle to find the six trigonometric functions of   . ​</strong> A)​   B)​   C)​   D)​   E)​
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70
Use the unit circle to find all values of θ  between 0 and 2 π  for which Use the unit circle to find all values of θ  between 0 and 2 π  for which   . .
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71
Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement. <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement.   ​</strong> A)55°, 155° B)60°, 300° C)60°, 150° D)210°, 150° E)210°, 300°

A)55°, 155°
B)60°, 300°
C)60°, 150°
D)210°, 150°
E)210°, 300°
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72
If angle θ  is in standard position and intersects the unit circle at <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​    find <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​    and <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​   . ​

A) <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>If angle θ  is in standard position and intersects the unit circle at    find    and   . ​</strong> A)   B)​   C)​   D)​   E)​
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73
Use the unit circle to find all values of θ  between 0 and 2 π  for which Use the unit circle to find all values of θ  between 0 and 2 π  for which   . .
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74
If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression. If we start at the point (1, 0)and travel once around the unit circle, we travel a distance of 2 π  units and arrive back where we started at the point (1, 0). If we continue around the unit circle a second time, we will repeat all the values of x and y that occurred during our first trip around. Use this discussion to evaluate the expression.
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75
Use the unit circle to find all values of θ  between 0 and 2 π  for which Use the unit circle to find all values of θ  between 0 and 2 π  for which   . .
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76
Use the unit circle to find all values of θ  between 0 and 2 π  for which <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​   . ​

A) <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Use the unit circle to find all values of θ  between 0 and 2 π  for which   . ​</strong> A)   B)​   C)​   D)​   E)​
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77
Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth.   __________ ​   __________ . Trace the circle to find the sine and cosine of Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth.   __________ ​   __________  to the nearest ten-thousandth. Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth.   __________ ​   __________ __________ ​ Graph the unit circle using parametric equations with your calculator set to radian mode. Use a scale of   . Trace the circle to find the sine and cosine of    to the nearest ten-thousandth.   __________ ​   __________ __________
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78
Use the unit circle to find all values of θ  between 0 and 2 π  for which Use the unit circle to find all values of θ  between 0 and 2 π  for which   . .
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79
Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth.
265° ​ Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 265° ​   __________ ​   __________ __________ ​ Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 265° ​   __________ ​   __________ __________
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80
Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement. <strong>Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the statement.   ​</strong> A)125°, 305° B)140°, 315° C)140°, 310° D)135°, 310° E)135°, 315°

A)125°, 305°
B)140°, 315°
C)140°, 310°
D)135°, 310°
E)135°, 315°
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Unlock Deck
Unlock for access to all 157 flashcards in this deck.