Deck 5: Identities and Formulas

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Question
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. <strong>Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.   ​</strong> A)not an identity B)is an identity <div style=padding-top: 35px>

A)not an identity
B)is an identity
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Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1 <div style=padding-top: 35px>

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1 <div style=padding-top: 35px>
B)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1 <div style=padding-top: 35px>
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1 <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1 <div style=padding-top: 35px>
E)1
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)​   E)2 <div style=padding-top: 35px>

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)​   E)2 <div style=padding-top: 35px>
B)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)​   E)2 <div style=padding-top: 35px>
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)​   E)2 <div style=padding-top: 35px>
D)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)​   E)2 <div style=padding-top: 35px>
E)2
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)   D)​   E)1 <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)   D)​   E)1 <div style=padding-top: 35px>
B)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)   D)​   E)1 <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)   D)​   E)1 <div style=padding-top: 35px>
D)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)   D)​   E)1 <div style=padding-top: 35px>
E)1
Question
In the list below find the right part of the identity. <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1 <div style=padding-top: 35px>

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1 <div style=padding-top: 35px>
B)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1 <div style=padding-top: 35px>
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1 <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1 <div style=padding-top: 35px>
E)1
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)   <div style=padding-top: 35px>    ​

A) <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)   <div style=padding-top: 35px>
D)​ <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)   <div style=padding-top: 35px>
Question
Find the identical expression for the following. ​ <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.  <div style=padding-top: 35px>
Question
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. <strong>Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.     ​</strong> A)not an identity B)is an identity <div style=padding-top: 35px>   ​

A)not an identity
B)is an identity
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​   <div style=padding-top: 35px>

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​   <div style=padding-top: 35px>
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​   <div style=padding-top: 35px>
E)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​   <div style=padding-top: 35px>
Question
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.  <div style=padding-top: 35px>
Question
Show that each of the statements is not an identity by finding in the list below the values of <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  that make the statement false. <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>   ​

A) <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
The identity is from the book Plane and Spherical Trigonometry with Tables by Rosenbach, Whitman, and Moskovitz, and published by Ginn and Company in 1937. Verify the identity.
The identity is from the book Plane and Spherical Trigonometry with Tables by Rosenbach, Whitman, and Moskovitz, and published by Ginn and Company in 1937. Verify the identity. ​  <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Prove that the identity is true.
Prove that the identity is true. ​  <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Prove that the identity is true.
Prove that the identity is true. ​  <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Show that the statement is not an identity by finding a value of Show that the statement is not an identity by finding a value of    that makes the statement false.  <div style=padding-top: 35px>  that makes the statement false. Show that the statement is not an identity by finding a value of    that makes the statement false.  <div style=padding-top: 35px>
Question
Graph one complete cycle of <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  by first rewriting the right side in the form <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . ​

A)​ <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Let <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with A in QII and  <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with B in QIII. Find <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Write the expression as a single trigonometric function. <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Prove that the identity is true. Prove that the identity is true.  <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>

A)0
B) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Write a formula for Write a formula for   by writing   as   and using the formula for the cosine of a sum.<div style=padding-top: 35px> by writing Write a formula for   by writing   as   and using the formula for the cosine of a sum.<div style=padding-top: 35px> as Write a formula for   by writing   as   and using the formula for the cosine of a sum.<div style=padding-top: 35px> and using the formula for the cosine of a sum.
Question
If <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , find <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find exact value for the following: ​ <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If If   and    , find   .   __________<div style=padding-top: 35px> and  If   and    , find   .   __________<div style=padding-top: 35px> , find If   and    , find   .   __________<div style=padding-top: 35px> . If   and    , find   .   __________<div style=padding-top: 35px> __________
Question
Write the expression as a single trigonometric function. <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the exact value for the following. Find the exact value for the following.  <div style=padding-top: 35px>
Question
Find the exact value for the following. Find the exact value for the following.  <div style=padding-top: 35px>
Question
Find the exact value for the following. <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>

A)0
B) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Prove the identity. Prove the identity.  <div style=padding-top: 35px>
Question
Write a formula for <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by writing <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and using the formula for the sine of a sum. ​

A) <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Write a formula for Write a formula for   by writing   as   and using the formula for the sine of a sum.<div style=padding-top: 35px> by writing Write a formula for   by writing   as   and using the formula for the sine of a sum.<div style=padding-top: 35px> as Write a formula for   by writing   as   and using the formula for the sine of a sum.<div style=padding-top: 35px> and using the formula for the sine of a sum.
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Write a formula for <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by writing <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  as <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and using the formula for the cosine of a sum. ​

A) <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together. <strong>Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together.   ​</strong> A)This is not an identity. B)This is an identity. <div style=padding-top: 35px>

A)This is not an identity.
B)This is an identity.
Question
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , find <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Graph the function from <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  and <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> y = 6cos <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> 0  - 3 ​

A)​ <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Prove the identity. Prove the identity.  <div style=padding-top: 35px>
Question
If <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with A in QII find <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with A in QIII ​ Find sin 2 A .

A) <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , find <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with A in QII find <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
If <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with A in QIII Find <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Prove the identity. Prove the identity.  <div style=padding-top: 35px>
Question
If <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , find <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Show that the following is true. Show that the following is true.  <div style=padding-top: 35px>
Question
Show that the following is true. Show that the following is true.  <div style=padding-top: 35px>
Question
If <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with A in QII find <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Prove the identity. Prove the identity.  <div style=padding-top: 35px>
Question
Prove the identity. Prove the identity.  <div style=padding-top: 35px>
Question
From the list below find the expression equivalent to ​ <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)   <div style=padding-top: 35px>

A) <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)   <div style=padding-top: 35px>
B) <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)   <div style=padding-top: 35px>
C) <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)   <div style=padding-top: 35px>
D) <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)   <div style=padding-top: 35px>
E) <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)   <div style=padding-top: 35px>
Question
If <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px> with A in QIV Find cot 2 A .

A)​ <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
B)​ <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
C)​ <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
D)​ <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
E) <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
Question
Show that the following is true. Show that the following is true.  <div style=padding-top: 35px>
Question
If <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with A in QIII find <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Graph the function from <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  and <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> y = 2 - 4sin3 x ​

A)​ <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
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Deck 5: Identities and Formulas
1
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. <strong>Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.   ​</strong> A)not an identity B)is an identity

A)not an identity
B)is an identity
not an identity
2
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1
B)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1
D) <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1
E)1
1
3
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)​   E)2

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)​   E)2
B)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)​   E)2
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)​   E)2
D)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)​   E)2
E)2
​
4
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​
B) <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​
D)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​
E)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​
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5
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)   D)​   E)1

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)   D)​   E)1
B)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)   D)​   E)1
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)   D)​   E)1
D)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)   D)​   E)1
E)1
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6
In the list below find the right part of the identity. <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>In the list below find the right part of the identity.   ​</strong> A)   B)​   C)​   D)​   E)​
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7
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​
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8
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Find the identical expression for the following.   ​</strong> A)   B)​   C)​   D)​   E)​
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9
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1
B)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1
D) <strong>Find the identical expression for the following.   ​</strong> A)​   B)​   C)​   D)   E)1
E)1
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10
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
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11
Find the identical expression for the following. <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)      ​

A) <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)
B) <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)
C) <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)
D)​ <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)
E) <strong>Find the identical expression for the following.      ​</strong> A)   B)   C)   D)​   E)
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12
Find the identical expression for the following. ​ <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​

A) <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​
B) <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​
C)​ <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​
D)​ <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​
E)​ <strong>Find the identical expression for the following. ​   ​</strong> A)   B)   C)​   D)​   E)​
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13
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
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14
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.
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15
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. <strong>Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.     ​</strong> A)not an identity B)is an identity   ​

A)not an identity
B)is an identity
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16
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​
B) <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​
D)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​
E)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)​   E)​
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17
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​

A)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​
B) <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​
C)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​
D) <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​
E)​ <strong>Find the identical expression for the following.   ​</strong> A)​   B)   C)​   D)   E)​
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18
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.
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19
Show that each of the statements is not an identity by finding in the list below the values of <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​    that make the statement false. <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​

A) <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Show that each of the statements is not an identity by finding in the list below the values of    that make the statement false.   ​ </strong> A)   B)​   C)​   D)​   E)​
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20
Find the identical expression for the following. <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)     ​

A) <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the identical expression for the following.     ​</strong> A)   B)   C)   D)   E)
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21
The identity is from the book Plane and Spherical Trigonometry with Tables by Rosenbach, Whitman, and Moskovitz, and published by Ginn and Company in 1937. Verify the identity.
The identity is from the book Plane and Spherical Trigonometry with Tables by Rosenbach, Whitman, and Moskovitz, and published by Ginn and Company in 1937. Verify the identity. ​
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22
Prove that the identity is true. Prove that the identity is true.
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23
Prove that the identity is true. Prove that the identity is true.
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24
Prove that the identity is true. Prove that the identity is true.
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25
Prove that the identity is true. Prove that the identity is true.
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26
Prove that the identity is true.
Prove that the identity is true. ​
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27
Prove that the identity is true. Prove that the identity is true.
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28
Prove that the identity is true.
Prove that the identity is true. ​
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29
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
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30
Prove that the identity is true. Prove that the identity is true.
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31
Prove that the identity is true. Prove that the identity is true.
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32
Prove that the identity is true. Prove that the identity is true.
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33
Show that the statement is not an identity by finding a value of Show that the statement is not an identity by finding a value of    that makes the statement false.   that makes the statement false. Show that the statement is not an identity by finding a value of    that makes the statement false.
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34
Graph one complete cycle of <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​    by first rewriting the right side in the form <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​   . ​

A)​ <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Graph one complete cycle of    by first rewriting the right side in the form   . ​</strong> A)​   B)​   C)​   D)​   E)​
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35
Let <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   with A in QII and  <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   with B in QIII. Find <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)   .

A) <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)
B) <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)
C) <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)
D) <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)
E) <strong>Let   with A in QII and    with B in QIII. Find   . ​</strong> A)   B)   C)   D)   E)
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36
Prove that the identity is true. Prove that the identity is true.
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37
Write the expression as a single trigonometric function. <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)
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38
Prove that the identity is true. Prove that the identity is true.
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39
Prove that the identity is true. Prove that the identity is true.
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40
Prove that the identity is true. Prove that the identity is true.
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41
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
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42
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)

A)0
B) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)
C) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)
D) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)
E) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)
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43
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
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44
Write a formula for Write a formula for   by writing   as   and using the formula for the cosine of a sum. by writing Write a formula for   by writing   as   and using the formula for the cosine of a sum. as Write a formula for   by writing   as   and using the formula for the cosine of a sum. and using the formula for the cosine of a sum.
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45
If <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)   and <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)    , find <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)
B) <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)
C) <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)
D) <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)
E) <strong>If   and    , find   . ​</strong> A)   B)   C)   D)   E)
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46
Find exact value for the following: ​ <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find exact value for the following: ​   ​</strong> A)   B)   C)   D)   E)
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47
If If   and    , find   .   __________ and  If   and    , find   .   __________ , find If   and    , find   .   __________ . If   and    , find   .   __________ __________
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48
Write the expression as a single trigonometric function. <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Write the expression as a single trigonometric function.   ​</strong> A)   B)   C)   D)   E)
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49
Find the exact value for the following. Find the exact value for the following.
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50
Find the exact value for the following. Find the exact value for the following.
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51
Find the exact value for the following. <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value for the following.   ​</strong> A)   B)   C)   D)   E)
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52
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)

A)0
B) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)
C) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)
D) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)
E) <strong>Find the identical expression for the following.   ​</strong> A)0 B)   C)   D)   E)
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53
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
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54
Prove the identity. Prove the identity.
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55
Write a formula for <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)   by writing <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)    as <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)   and using the formula for the sine of a sum. ​

A) <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)
B) <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)
C) <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)
D) <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)
E) <strong>Write a formula for   by writing    as   and using the formula for the sine of a sum. ​</strong> A)   B)   C)   D)   E)
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56
Write a formula for Write a formula for   by writing   as   and using the formula for the sine of a sum. by writing Write a formula for   by writing   as   and using the formula for the sine of a sum. as Write a formula for   by writing   as   and using the formula for the sine of a sum. and using the formula for the sine of a sum.
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57
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
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58
Write a formula for <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)   by writing <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)    as <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)   and using the formula for the cosine of a sum. ​

A) <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)
B) <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)
C) <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)
D) <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)
E) <strong>Write a formula for   by writing    as   and using the formula for the cosine of a sum. ​</strong> A)   B)   C)   D)   E)
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59
Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together. <strong>Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together.   ​</strong> A)This is not an identity. B)This is an identity.

A)This is not an identity.
B)This is an identity.
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60
Find the identical expression for the following. <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the identical expression for the following.   ​</strong> A)   B)   C)   D)   E)
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61
If <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   , find <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
B) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
C) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
D) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
E) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
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62
Graph the function from <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​    and <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​   y = 6cos <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​   0  - 3 ​

A)​ <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Graph the function from    and   y = 6cos<sup>2 </sup>   0  - 3 ​</strong> A)​   B)​   C)​   D)​   E)​
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63
Prove the identity. Prove the identity.
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64
If <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   with A in QII find <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
B) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
C) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
D) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
E) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
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65
If <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)   with A in QIII ​ Find sin 2 A .

A) <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)
B) <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)
C) <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)
D) <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)
E) <strong>If   with A in QIII ​ Find sin 2 A . ​</strong> A)   B)   C)   D)   E)
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66
If <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   , find <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
B) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
C) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
D) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
E) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
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67
If <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   with A in QII find <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
B) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
C) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
D) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
E) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
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68
If <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)   with A in QIII Find <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)   .

A) <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)
B) <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)
C) <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)
D) <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)
E) <strong>If   with A in QIII Find   . ​</strong> A)   B)   C)   D)   E)
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69
Prove the identity. Prove the identity.
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70
If <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   , find <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
B) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
C) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
D) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
E) <strong>If   , find   . ​</strong> A)   B)   C)   D)   E)
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71
Show that the following is true. Show that the following is true.
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72
Show that the following is true. Show that the following is true.
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73
If <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   with A in QII find <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
B) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
C) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
D) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
E) <strong>If   with A in QII find   . ​</strong> A)   B)   C)   D)   E)
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74
Prove the identity. Prove the identity.
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75
Prove the identity. Prove the identity.
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76
From the list below find the expression equivalent to ​ <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)

A) <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)
B) <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)
C) <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)
D) <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)
E) <strong>From the list below find the expression equivalent to ​   ​</strong> A)   B)   C)   ​ D)   E)
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77
If <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)   with A in QIV Find cot 2 A .

A)​ <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)
B)​ <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)
C)​ <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)
D)​ <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)
E) <strong>If   with A in QIV Find cot 2 A . ​</strong> A)​   B)​   C)​   D)​   E)
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78
Show that the following is true. Show that the following is true.
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79
If <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)   with A in QIII find <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)   .

A) <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)
B) <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)
C) <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)
D) <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)
E) <strong>If   with A in QIII find   . ​</strong> A)   B)   C)   D)   E)
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80
Graph the function from <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​    and <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​   y = 2 - 4sin3 x ​

A)​ <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​</strong> A)​   B)​   C)​   D)​   E)​
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