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Deck 26: Trigonometric Functions of Any Angle
Full screen (f)
Question
The point is on the terminal side of an angle in standard position.Determine the exact values of the three trigonometric functions sine,cosine,and tangent of the angle θ. 
A)sin θ =
cos θ = 
Tan θ =
B)sin θ =
cos θ = 
Tan θ =
C)sin θ =
cos θ = 
Tan θ =
D)sin θ =
cos θ = 
Tan θ =
E)sin θ =
cos θ = 
Tan θ =
A)sin θ =
cos θ = Tan θ =
B)sin θ =
cos θ = Tan θ =
C)sin θ =
cos θ = Tan θ =
D)sin θ =
cos θ = Tan θ =
E)sin θ =
cos θ = Tan θ =
Question
Find the reference angle 
,and sketch 
and 
in standard position. 
A)
B)
C)
D)
E)
,and sketch and in standard position. A)
B)
C)
D)
E)
Question
The displacement from equilibrium of an oscillating weight suspended by a spring is given by 
,where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when 
.(Round your answers to two decimal places. ) 
A)1.76 cm
B)1.66 cm
C)1.46 cm
D)1.86 cm
E)1.96 cm
,where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .(Round your answers to two decimal places. ) A)1.76 cm
B)1.66 cm
C)1.46 cm
D)1.86 cm
E)1.96 cm
Question
Find the reference angle 
,and 
sketch and 
in standard position. 
A)
B)
C)
D)
E)
,and sketch and in standard position. A)
B)
C)
D)
E)
Question
Determine the exact values of the three trigonometric functions sine,cosine,and tangent of the angle θ. 
where 
A)sin θ = -
cos θ = - 
Tan θ =
B)sin θ = -
cos θ = - 
Tan θ = -
C)sin θ = -
cos θ = - 
Tan θ = -
D)sin θ = -
cos θ = - 
Tan θ = -
E)sin θ = -
cos θ = - 
Tan θ = -
where A)sin θ = -
cos θ = - Tan θ =
B)sin θ = -
cos θ = - Tan θ = -
C)sin θ = -
cos θ = - Tan θ = -
D)sin θ = -
cos θ = - Tan θ = -
E)sin θ = -
cos θ = - Tan θ = -
Question
Question
Question
Question
Question
Find the reference angle 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode. ) 
A)-0.1736
B)0.3264
C)-0.0736
D)0.1264
E)0.2264
A)-0.1736
B)0.3264
C)-0.0736
D)0.1264
E)0.2264
Question
Determine the exact values of the three trigonometric functions csc,sec,and cot of the angle θ.
where 
A)csc θ =
sec θ = 
Cot θ =
B)csc θ =
sec θ = 
Cot θ =
C)csc θ =
sec θ = 
Cot θ =
D)csc θ =
sec θ = 
Cot θ =
E)csc θ =
sec θ = 
Cot θ =
where A)csc θ =
sec θ = Cot θ =
B)csc θ =
sec θ = Cot θ =
C)csc θ =
sec θ = Cot θ =
D)csc θ =
sec θ = Cot θ =
E)csc θ =
sec θ = Cot θ =
Question
Question
Find the reference angle 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Determine the exact values of the three trigonometric functions csc,sec,and cot of the angle θ. 
where a = 15 and b = 8.
A)csc θ = -
sec θ = - 
Cot θ =
B)cscθ = -
sec θ = - 
Cot θ = -
C)csc θ = -
sec θ = - 
Cot θ = -
D)csc θ = -
sec θ = - 
Cot θ = -
E)csc θ = -
sec θ = - 
Cot θ = -
where a = 15 and b = 8.
A)csc θ = -
sec θ = - Cot θ =
B)cscθ = -
sec θ = - Cot θ = -
C)csc θ = -
sec θ = - Cot θ = -
D)csc θ = -
sec θ = - Cot θ = -
E)csc θ = -
sec θ = - Cot θ = -
Question
Determine the exact values of the three trigonometric functions sine,cosine,and tangent of the angle θ. 
where 
A)sin θ =
cos θ = 
Tan θ =
B)sin θ =
cos θ = 
Tan θ =
C)sin θ =
cos θ = 
Tan θ =
D)sin θ =
cos θ = 
Tan θ =
E)sin θ =
cos θ = 
Tan θ =
where A)sin θ =
cos θ = Tan θ =
B)sin θ =
cos θ = Tan θ =
C)sin θ =
cos θ = Tan θ =
D)sin θ =
cos θ = Tan θ =
E)sin θ =
cos θ = Tan θ =
Question
Find the reference angle 
,and sketch 
and 
in standard position. 
A)
B)
C)
= 35 
D)
= 65 
E)
= 55 
,and sketch and in standard position. A)
B)
C)
= 35 D)
= 65 E)
= 55 Question
Find the values of the trigonometric functions sine and sec of θ with the given constraint.
Function Value
Constra int
Tan θ = -
sin θ > 0
A)sin θ = -
sec θ = 
B)sin θ =
sec θ = - 
C)sin θ =
sec θ = - 
D)sin θ =
sec θ = 
E)sin θ = -
sec θ = - 
Function Value
Constra int
Tan θ = -
sin θ > 0
A)sin θ = -
sec θ = B)sin θ =
sec θ = - C)sin θ =
sec θ = - D)sin θ =
sec θ = E)sin θ = -
sec θ = - Question
The point is on the terminal side of an angle in standard position.Determine the exact values of the three trigonometric functions sine,cosine,and tangent of the angle θ. 
A)sin θ =
cos θ = 
Tan θ =
B)sin θ =
cos θ = 
Tan θ =
C)sin θ =
cos θ = 
Tan θ =
D)sin θ =
cos θ = 
Tan θ =
E)sin θ =
cos θ = 
Tan θ =
A)sin θ =
cos θ = Tan θ =
B)sin θ =
cos θ = Tan θ =
C)sin θ =
cos θ = Tan θ =
D)sin θ =
cos θ = Tan θ =
E)sin θ =
cos θ = Tan θ =
Question
The displacement from equilibrium of an oscillating weight suspended by a spring is given by 
where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when 
.(Round your answers to nearest tenth. ) 
A)1.200 cm
B)1.100 cm
C)1.000 cm
D)0.800 cm
E)1.300 cm
where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .(Round your answers to nearest tenth. ) A)1.200 cm
B)1.100 cm
C)1.000 cm
D)0.800 cm
E)1.300 cm
Question
The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by 
where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when 
.Round your answer to two decimal places. 
A)0.89 cm
B)0.59 cm
C)0.99 cm
D)1.09 cm
E)0.79 cm
where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .Round your answer to two decimal places. A)0.89 cm
B)0.59 cm
C)0.99 cm
D)1.09 cm
E)0.79 cm
Question
Given the figure below,determine the value of 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by 
where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when 
.(Round your answer two decimal places. ) 
A)0.71 cm
B)1.11 cm
C)1.31 cm
D)-0.91 cm
E)0.91 cm
where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .(Round your answer two decimal places. )
A)0.71 cm
B)1.11 cm
C)1.31 cm
D)-0.91 cm
E)0.91 cm
Question
Evaluate the trigonometric function.Round your answer to four decimal places. 
A)2.2321
B)1.7321
C)2.7321
D)3.7321
E)4.7321
A)2.2321
B)1.7321
C)2.7321
D)3.7321
E)4.7321
Question
Evaluate the trigonometric function.Round your answer to four decimal places. 
A)0.5858
B)-0.4142
C)0.0858
D)2.5858
E)1.5858
A)0.5858
B)-0.4142
C)0.0858
D)2.5858
E)1.5858
Question
State the quadrant in which θ lies if 
< 0 and 
> 0.
A)Quadrant II
B)Quadrant IV
C)Quadrant I
D)Quadrant III
< 0 and > 0.A)Quadrant II
B)Quadrant IV
C)Quadrant I
D)Quadrant III
Question
Question
An airplane,flying at an altitude of 8 miles,is on a flight path that passes directly over an observer (see figure).If 
is the angle of elevation from the observer to the plane,find the distance from the observer to the plane when 
°.(Round your answers to two decimal place. ) 
A)11.24 mi
B)10.24 mi
C)9.24 mi
D)12.24 mi
E)13.24 mi
is the angle of elevation from the observer to the plane,find the distance from the observer to the plane when °.(Round your answers to two decimal place. ) A)11.24 mi
B)10.24 mi
C)9.24 mi
D)12.24 mi
E)13.24 mi
Question
Question
Determine the exact value of the 
of the quadrant angle π.
A)0
B)undefined
C)
D)
E)
of the quadrant angle π.A)0
B)undefined
C)
D)
E)
Question
Evaluate the trigonometric function.Round your answer to four decimal places. 
A)1.8637
B)3.8637
C)4.3637
D)6.8637
E)4.8637
A)1.8637
B)3.8637
C)4.3637
D)6.8637
E)4.8637
Question
Determine the exact value of 
when 
and 
< 0.
A)
B)
C)
D)
E)
when and < 0.A)
B)
C)
D)
E)
Question
Evaluate the trigonometric function.Round your answer to four decimal places. 
A)0.8249
B)3.3249
C)0.3249
D)2.3249
E)1.3249
A)0.8249
B)3.3249
C)0.3249
D)2.3249
E)1.3249
Question
Question
Determine the exact value of 
when 
and 
.
A)
B)
C)
D)
E)
when and .A)
B)
C)
D)
E)
Question
The point 
is on the terminal side of an angle in standard position.Determine the exact value of 
.
A)
B)
C)
D)
E)
is on the terminal side of an angle in standard position.Determine the exact value of .A)
B)
C)
D)
E)
Question
The point 
is on the terminal side of an angle in standard position.Determine the exact value of 
.
A)
B)
C)
D)
E)
is on the terminal side of an angle in standard position.Determine the exact value of .A)
B)
C)
D)
E)
Question
The terminal side of θ lies on the line 
in the fourth quadrant.Find the exact value of 
.
A)
B)
C)
D)
E)
in the fourth quadrant.Find the exact value of .A)
B)
C)
D)
E)
Question
The current I (in amperes)when 100 volts is applied to a circuit is given by 
where t is the time (in seconds)after the voltage is applied.Approximate the current at
T = 0.8 second after the voltage is applied.(Round your answers to two decimal places. )
A)1.12 ampere
B)1.02 ampere
C)0.72 ampere
D)0.82 ampere
E)0.92 ampere
where t is the time (in seconds)after the voltage is applied.Approximate the current atT = 0.8 second after the voltage is applied.(Round your answers to two decimal places. )
A)1.12 ampere
B)1.02 ampere
C)0.72 ampere
D)0.82 ampere
E)0.92 ampere
Question
Question
State the quadrant in which θ lies if 
> 0 and 
> 0.
A)Quadrant II
B)Quadrant III
C)Quadrant IV
D)Quadrant I
> 0 and > 0.A)Quadrant II
B)Quadrant III
C)Quadrant IV
D)Quadrant I
Question
Use a calculator to evaluate cot 335 
.Round your answer to four decimal places.
A)-2.1445
B)-2.6445
C)-0.4470
D)-1.1970
E)-1.7453
.Round your answer to four decimal places. A)-2.1445
B)-2.6445
C)-0.4470
D)-1.1970
E)-1.7453
Question
Determine the exact value of 
.
A)
B)
C)
D)1
E)-1
.A)
B)
C)
D)1
E)-1
Question
The point (-7,-24)is on the terminal side of an angle in standard position.Determine the exact value of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
The point (7,24)is on the terminal side of an angle in standard position.Determine the exact value of cos θ.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Given the equation below,determine two solutions such that 
. cos θ = 
A)θ = 225
,135 
B)θ = 135
,225 
C)θ = 150
,210 
D)θ = 300
,240 
E)θ = 30
. cos θ = A)θ = 225
,135 B)θ = 135
,225 C)θ = 150
,210 D)θ = 300
,240 E)θ = 30
Question
Find the point 
on the unit circle that corresponds to the real number 
.Use your results to evaluate cos t.
A)cos t = 1
B)cos t = -1
C)
D)
E)
on the unit circle that corresponds to the real number .Use your results to evaluate cos t. A)cos t = 1
B)cos t = -1
C)
D)
E)
Question
The displacement from equilibrium of an oscillating weight suspended by a spring is given by 
,where y is the displacement in centimeters and t is the time in seconds.Find the displacement when 
,rounding your answer to four decimal places.
A)2.2693 cm
B)-3.3563 cm
C)-0.7275 cm
D)-6.5364 cm
E)10.0903 cm
,where y is the displacement in centimeters and t is the time in seconds.Find the displacement when ,rounding your answer to four decimal places. A)2.2693 cm
B)-3.3563 cm
C)-0.7275 cm
D)-6.5364 cm
E)10.0903 cm
Question
Use a calculator to evaluate 
.Round your answer to four decimal places.
A)17.3432
B)17.8432
C)6.2599
D)13.8154
E)5.5099
.Round your answer to four decimal places.A)17.3432
B)17.8432
C)6.2599
D)13.8154
E)5.5099
Question
Determine the exact value of the 
of the quadrant angle 
.
A)
B)
C)
D)0
E)undefined
of the quadrant angle .A)
B)
C)
D)0
E)undefined
Question
Use a calculator to evaluate 
.Round your answer to four decimal places.
A)-0.9589
B)0.0872
C)-0.4128
D)-0.4282
E)-1.7089
.Round your answer to four decimal places.A)-0.9589
B)0.0872
C)-0.4128
D)-0.4282
E)-1.7089
Question
Find the point (x,y)on the unit circle that corresponds to the real number 
.Use your results to evaluate tan t.
A)
B)
C)
D)
E)
.Use your results to evaluate tan t.A)
B)
C)
D)
E)
Question
Given the equation below,determine two solutions such that 
. sec θ = 
A)
B)
C)
D)
E)
. sec θ = A)
B)
C)
D)
E)
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Deck 26: Trigonometric Functions of Any Angle
1
The point is on the terminal side of an angle in standard position.Determine the exact values of the three trigonometric functions sine,cosine,and tangent of the angle θ.
A)sin θ = cos θ =
Tan θ =
B)sin θ = cos θ =
Tan θ =
C)sin θ = cos θ =
Tan θ =
D)sin θ = cos θ =
Tan θ =
E)sin θ = cos θ =
Tan θ =
A)sin θ =
cos θ = Tan θ =
B)sin θ =
cos θ = Tan θ =
C)sin θ =
cos θ = Tan θ =
D)sin θ =
cos θ = Tan θ =
E)sin θ =
cos θ = Tan θ =
sin θ = cos θ =
Tan θ =
cos θ = Tan θ =
2
Find the reference angle ,and sketch and in standard position.
A)
B)
C)
D)
E)
,and sketch and in standard position. A)
B)
C)
D)
E)
3
The displacement from equilibrium of an oscillating weight suspended by a spring is given by ,where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .(Round your answers to two decimal places. )
A)1.76 cm
B)1.66 cm
C)1.46 cm
D)1.86 cm
E)1.96 cm
,where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .(Round your answers to two decimal places. ) A)1.76 cm
B)1.66 cm
C)1.46 cm
D)1.86 cm
E)1.96 cm
1.46 cm
4
Find the reference angle ,and sketch and in standard position.
A)
B)
C)
D)
E)
,and sketch and in standard position. A)
B)
C)
D)
E)
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5
Determine the exact values of the three trigonometric functions sine,cosine,and tangent of the angle θ. where
A)sin θ = - cos θ = -
Tan θ =
B)sin θ = - cos θ = -
Tan θ = -
C)sin θ = - cos θ = -
Tan θ = -
D)sin θ = - cos θ = -
Tan θ = -
E)sin θ = - cos θ = -
Tan θ = -
where A)sin θ = -
cos θ = - Tan θ =
B)sin θ = -
cos θ = - Tan θ = -
C)sin θ = -
cos θ = - Tan θ = -
D)sin θ = -
cos θ = - Tan θ = -
E)sin θ = -
cos θ = - Tan θ = -
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6
Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode. )
Tan 4.9
A)-4.9675
B)-4.8675
C)-5.1675
D)-4.7675
E)-5.2675
Tan 4.9
A)-4.9675
B)-4.8675
C)-5.1675
D)-4.7675
E)-5.2675
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7
Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode. )
Sin 11°
A)0.4908
B)0.1908
C)0.5908
D)0.2908
E)0.6908
Sin 11°
A)0.4908
B)0.1908
C)0.5908
D)0.2908
E)0.6908
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8
Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode. )
Tan 306°
A)-1.0764
B)-1.2764
C)-1.3764
D)-0.8764
E)-0.9764
Tan 306°
A)-1.0764
B)-1.2764
C)-1.3764
D)-0.8764
E)-0.9764
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9
Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode. )
Sec 0.21
A)1.5225
B)1.1225
C)1.4225
D)1.0225
E)1.3225
Sec 0.21
A)1.5225
B)1.1225
C)1.4225
D)1.0225
E)1.3225
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10
Find the reference angle .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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11
Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode. )
A)-0.1736
B)0.3264
C)-0.0736
D)0.1264
E)0.2264
A)-0.1736
B)0.3264
C)-0.0736
D)0.1264
E)0.2264
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12
Determine the exact values of the three trigonometric functions csc,sec,and cot of the angle θ.
where
A)csc θ = sec θ =
Cot θ =
B)csc θ = sec θ =
Cot θ =
C)csc θ = sec θ =
Cot θ =
D)csc θ = sec θ =
Cot θ =
E)csc θ = sec θ =
Cot θ =
where A)csc θ =
sec θ = Cot θ =
B)csc θ =
sec θ = Cot θ =
C)csc θ =
sec θ = Cot θ =
D)csc θ =
sec θ = Cot θ =
E)csc θ =
sec θ = Cot θ =
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13
Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode. )
Sec 221°
A)-1.3250
B)-1.0250
C)-0.8250
D)-0.9250
E)-1.2250
Sec 221°
A)-1.3250
B)-1.0250
C)-0.8250
D)-0.9250
E)-1.2250
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14
Find the reference angle .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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15
Determine the exact values of the three trigonometric functions csc,sec,and cot of the angle θ. where a = 15 and b = 8.
A)csc θ = - sec θ = -
Cot θ =
B)cscθ = - sec θ = -
Cot θ = -
C)csc θ = - sec θ = -
Cot θ = -
D)csc θ = - sec θ = -
Cot θ = -
E)csc θ = - sec θ = -
Cot θ = -
where a = 15 and b = 8.
A)csc θ = -
sec θ = - Cot θ =
B)cscθ = -
sec θ = - Cot θ = -
C)csc θ = -
sec θ = - Cot θ = -
D)csc θ = -
sec θ = - Cot θ = -
E)csc θ = -
sec θ = - Cot θ = -
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16
Determine the exact values of the three trigonometric functions sine,cosine,and tangent of the angle θ. where
A)sin θ = cos θ =
Tan θ =
B)sin θ = cos θ =
Tan θ =
C)sin θ = cos θ =
Tan θ =
D)sin θ = cos θ =
Tan θ =
E)sin θ = cos θ =
Tan θ =
where A)sin θ =
cos θ = Tan θ =
B)sin θ =
cos θ = Tan θ =
C)sin θ =
cos θ = Tan θ =
D)sin θ =
cos θ = Tan θ =
E)sin θ =
cos θ = Tan θ =
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17
Find the reference angle ,and sketch and in standard position.
A)
B)
C) = 35
D) = 65
E) = 55
,and sketch and in standard position. A)
B)
C)
= 35 D)
= 65 E)
= 55 Unlock Deck
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18
Find the values of the trigonometric functions sine and sec of θ with the given constraint.
Function Value
Constra int
Tan θ = - sin θ > 0
A)sin θ = - sec θ =
B)sin θ = sec θ = -
C)sin θ = sec θ = -
D)sin θ = sec θ =
E)sin θ = - sec θ = -
Function Value
Constra int
Tan θ = -
sin θ > 0
A)sin θ = -
sec θ = B)sin θ =
sec θ = - C)sin θ =
sec θ = - D)sin θ =
sec θ = E)sin θ = -
sec θ = - Unlock Deck
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19
The point is on the terminal side of an angle in standard position.Determine the exact values of the three trigonometric functions sine,cosine,and tangent of the angle θ.
A)sin θ = cos θ =
Tan θ =
B)sin θ = cos θ =
Tan θ =
C)sin θ = cos θ =
Tan θ =
D)sin θ = cos θ =
Tan θ =
E)sin θ = cos θ =
Tan θ =
A)sin θ =
cos θ = Tan θ =
B)sin θ =
cos θ = Tan θ =
C)sin θ =
cos θ = Tan θ =
D)sin θ =
cos θ = Tan θ =
E)sin θ =
cos θ = Tan θ =
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20
The displacement from equilibrium of an oscillating weight suspended by a spring is given by where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .(Round your answers to nearest tenth. )
A)1.200 cm
B)1.100 cm
C)1.000 cm
D)0.800 cm
E)1.300 cm
where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .(Round your answers to nearest tenth. ) A)1.200 cm
B)1.100 cm
C)1.000 cm
D)0.800 cm
E)1.300 cm
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21
The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .Round your answer to two decimal places.
A)0.89 cm
B)0.59 cm
C)0.99 cm
D)1.09 cm
E)0.79 cm
where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .Round your answer to two decimal places. A)0.89 cm
B)0.59 cm
C)0.99 cm
D)1.09 cm
E)0.79 cm
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22
Given the figure below,determine the value of .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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23
The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .(Round your answer two decimal places. )
A)0.71 cm
B)1.11 cm
C)1.31 cm
D)-0.91 cm
E)0.91 cm
where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when .(Round your answer two decimal places. )
A)0.71 cm
B)1.11 cm
C)1.31 cm
D)-0.91 cm
E)0.91 cm
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24
Evaluate the trigonometric function.Round your answer to four decimal places.
A)2.2321
B)1.7321
C)2.7321
D)3.7321
E)4.7321
A)2.2321
B)1.7321
C)2.7321
D)3.7321
E)4.7321
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25
Evaluate the trigonometric function.Round your answer to four decimal places.
A)0.5858
B)-0.4142
C)0.0858
D)2.5858
E)1.5858
A)0.5858
B)-0.4142
C)0.0858
D)2.5858
E)1.5858
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26
State the quadrant in which θ lies if < 0 and > 0.
A)Quadrant II
B)Quadrant IV
C)Quadrant I
D)Quadrant III
< 0 and > 0.A)Quadrant II
B)Quadrant IV
C)Quadrant I
D)Quadrant III
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27
Evaluate the trigonometric function.Round your answer to four decimal places.
Csc(-310°)
A)2.3054
B)3.3054
C)1.3054
D)4.3054
E)1.8054
Csc(-310°)
A)2.3054
B)3.3054
C)1.3054
D)4.3054
E)1.8054
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28
An airplane,flying at an altitude of 8 miles,is on a flight path that passes directly over an observer (see figure).If is the angle of elevation from the observer to the plane,find the distance from the observer to the plane when °.(Round your answers to two decimal place. )
A)11.24 mi
B)10.24 mi
C)9.24 mi
D)12.24 mi
E)13.24 mi
is the angle of elevation from the observer to the plane,find the distance from the observer to the plane when °.(Round your answers to two decimal place. ) A)11.24 mi
B)10.24 mi
C)9.24 mi
D)12.24 mi
E)13.24 mi
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29
Evaluate the trigonometric function.Round your answer to four decimal places.
Cot 3.35
A)7.7286
B)5.7286
C)5.2286
D)6.7286
E)4.7286
Cot 3.35
A)7.7286
B)5.7286
C)5.2286
D)6.7286
E)4.7286
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30
Determine the exact value of the of the quadrant angle π.
A)0
B)undefined
C)
D)
E)
of the quadrant angle π.A)0
B)undefined
C)
D)
E)
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31
Evaluate the trigonometric function.Round your answer to four decimal places.
A)1.8637
B)3.8637
C)4.3637
D)6.8637
E)4.8637
A)1.8637
B)3.8637
C)4.3637
D)6.8637
E)4.8637
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32
Determine the exact value of when and < 0.
A)
B)
C)
D)
E)
when and < 0.A)
B)
C)
D)
E)
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33
Evaluate the trigonometric function.Round your answer to four decimal places.
A)0.8249
B)3.3249
C)0.3249
D)2.3249
E)1.3249
A)0.8249
B)3.3249
C)0.3249
D)2.3249
E)1.3249
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34
Evaluate the trigonometric function.Round your answer to four decimal places.
Tan ( -187°)
A)0.8772
B)1.8772
C)-0.1228
D)2.8772
E)0.3772
Tan ( -187°)
A)0.8772
B)1.8772
C)-0.1228
D)2.8772
E)0.3772
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35
Determine the exact value of when and .
A)
B)
C)
D)
E)
when and .A)
B)
C)
D)
E)
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36
The point is on the terminal side of an angle in standard position.Determine the exact value of .
A)
B)
C)
D)
E)
is on the terminal side of an angle in standard position.Determine the exact value of .A)
B)
C)
D)
E)
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Unlock Deck
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37
The point is on the terminal side of an angle in standard position.Determine the exact value of .
A)
B)
C)
D)
E)
is on the terminal side of an angle in standard position.Determine the exact value of .A)
B)
C)
D)
E)
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38
The terminal side of θ lies on the line in the fourth quadrant.Find the exact value of .
A)
B)
C)
D)
E)
in the fourth quadrant.Find the exact value of .A)
B)
C)
D)
E)
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39
The current I (in amperes)when 100 volts is applied to a circuit is given by where t is the time (in seconds)after the voltage is applied.Approximate the current at
T = 0.8 second after the voltage is applied.(Round your answers to two decimal places. )
A)1.12 ampere
B)1.02 ampere
C)0.72 ampere
D)0.82 ampere
E)0.92 ampere
where t is the time (in seconds)after the voltage is applied.Approximate the current atT = 0.8 second after the voltage is applied.(Round your answers to two decimal places. )
A)1.12 ampere
B)1.02 ampere
C)0.72 ampere
D)0.82 ampere
E)0.92 ampere
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40
Evaluate the trigonometric function.Round your answer to four decimal places.
Cot 171°
A)-5.3138
B)-4.3138
C)-6.3138
D)-3.3138
E)-5.8138
Cot 171°
A)-5.3138
B)-4.3138
C)-6.3138
D)-3.3138
E)-5.8138
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41
State the quadrant in which θ lies if > 0 and > 0.
A)Quadrant II
B)Quadrant III
C)Quadrant IV
D)Quadrant I
> 0 and > 0.A)Quadrant II
B)Quadrant III
C)Quadrant IV
D)Quadrant I
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42
Use a calculator to evaluate cot 335 .Round your answer to four decimal places.
A)-2.1445
B)-2.6445
C)-0.4470
D)-1.1970
E)-1.7453
.Round your answer to four decimal places. A)-2.1445
B)-2.6445
C)-0.4470
D)-1.1970
E)-1.7453
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43
Determine the exact value of .
A)
B)
C)
D)1
E)-1
.A)
B)
C)
D)1
E)-1
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44
The point (-7,-24)is on the terminal side of an angle in standard position.Determine the exact value of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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45
The point (7,24)is on the terminal side of an angle in standard position.Determine the exact value of cos θ.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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46
Given the equation below,determine two solutions such that . cos θ =
A)θ = 225 ,135
B)θ = 135 ,225
C)θ = 150 ,210
D)θ = 300 ,240
E)θ = 30
. cos θ = A)θ = 225
,135 B)θ = 135
,225 C)θ = 150
,210 D)θ = 300
,240 E)θ = 30
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47
Find the point on the unit circle that corresponds to the real number .Use your results to evaluate cos t.
A)cos t = 1
B)cos t = -1
C)
D)
E)
on the unit circle that corresponds to the real number .Use your results to evaluate cos t. A)cos t = 1
B)cos t = -1
C)
D)
E)
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48
The displacement from equilibrium of an oscillating weight suspended by a spring is given by ,where y is the displacement in centimeters and t is the time in seconds.Find the displacement when ,rounding your answer to four decimal places.
A)2.2693 cm
B)-3.3563 cm
C)-0.7275 cm
D)-6.5364 cm
E)10.0903 cm
,where y is the displacement in centimeters and t is the time in seconds.Find the displacement when ,rounding your answer to four decimal places. A)2.2693 cm
B)-3.3563 cm
C)-0.7275 cm
D)-6.5364 cm
E)10.0903 cm
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49
Use a calculator to evaluate .Round your answer to four decimal places.
A)17.3432
B)17.8432
C)6.2599
D)13.8154
E)5.5099
.Round your answer to four decimal places.A)17.3432
B)17.8432
C)6.2599
D)13.8154
E)5.5099
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50
Determine the exact value of the of the quadrant angle .
A)
B)
C)
D)0
E)undefined
of the quadrant angle .A)
B)
C)
D)0
E)undefined
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51
Use a calculator to evaluate .Round your answer to four decimal places.
A)-0.9589
B)0.0872
C)-0.4128
D)-0.4282
E)-1.7089
.Round your answer to four decimal places.A)-0.9589
B)0.0872
C)-0.4128
D)-0.4282
E)-1.7089
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52
Find the point (x,y)on the unit circle that corresponds to the real number .Use your results to evaluate tan t.
A)
B)
C)
D)
E)
.Use your results to evaluate tan t.A)
B)
C)
D)
E)
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53
Given the equation below,determine two solutions such that . sec θ =
A)
B)
C)
D)
E)
. sec θ = A)
B)
C)
D)
E)
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Unlock Deck
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