Deck 24: Trigonometric Functions The Unit Circle

Question 1

Evaluate (if possible)the sine,cosine,and tangent of the real number.​ ​

A) corresponds to the point .
B) corresponds to the point .
C) corresponds to the point .
D) corresponds to the point .
E)Not possible

Answer 1

corresponds to the point .

Question 2

Find the point (x,y)on the unit circle that corresponds to the real number t.​ ​

A) corresponds to the point .
B) corresponds to the point .
C) corresponds to the point .
D) corresponds to the point .
E) corresponds to the point .

Answer 2

corresponds to the point .

Question 3

Evaluate (if possible)the sine,cosine,and tangent of the real number.​ ​

A) corresponds to the point .
B) corresponds to the point .​ ​
C) corresponds to the point .​ ​
D) corresponds to the point .​ ​
E)Not possible

Answer 3

corresponds to the point .​ ​

Question 4

Find the exact values of the three trigonometric functions sine,cosine,tangent of the real number t.​ ​ a = ,b = ​

A)sin t = cos t =
Tan t =
B)​sin t = cos t =
Tan t =
C)​sin t = cos t =
Tan t =
D)sin t = cos t =
Tan t =
E)​sin t = cos t =
Tan t =

Question 5

Find the point (x,y)on the unit circle that corresponds to the real number t.(Round your answer to one decimal place. )​ ​

A) corresponds to the point .
B) corresponds to the point .
C) corresponds to the point .
D) corresponds to the point .
E) corresponds to the point .

Question 6

Find the exact values of the three trigonometric functions sine,cosine,tangent of the real number t.​ ​ ​

A)​ ​
B)​ ​
C) ​
D)​ ​
E)​ ​

Question 7

Evaluate (if possible)the sine,cosec,and tangent of the real number.​ ​

A) corresponds to the point .
B) corresponds to the point .
C) corresponds to the point .
D) corresponds to the point .
E)Not possible

Question 8

Evaluate (if possible)the sine,cosine,and tangent of the real number.​ ​

A) corresponds to the point .
B) corresponds to the point .
C) corresponds to the point .
D) corresponds to the point .
E)Not possible

Question 9

Find the point (x,y)on the unit circle that corresponds to the real number t.​ ​

A) corresponds to the point .
B) corresponds to the point .
C) corresponds to the point .
D) corresponds to the point .
E) corresponds to the point .

Question 10

Evaluate (if possible)the sine,cosine,and tangent of the real number.​ ​

A) corresponds to the point .
B) corresponds to the point .
C) corresponds to the point .
D) corresponds to the point .
E)Not possible

Question 11

Evaluate the trigonometric function using its period as an aid. ​
Cos 8π
​

A)cos 8π = -8
B)cos 8π = 0
C)cos 8π = 8
D)cos 8π = ∞
E)cos 8π = 1

Question 12

Evaluate the trigonometric function using its period as an aid.​ ​

A)
B)
C)
D)
E)

Question 13

Find the exact values of the three trigonometric functions sine,cosine,tangent of the real number t.​ ​ ​

A)​ ​
B)​ ​
C) ​
D)​ ​
E)​ ​

Question 14

Find the exact values of the three trigonometric functions sine,cosine,tangent of the real number t.​ ​ ​

A)​ ​
B)​ ​
C) ​
D)​ ​
E)​ ​

Question 15

Evaluate (if possible)the sine,cosine,and tangent of the real number.​ ​

A) corresponds to the point .
B) corresponds to the point .
C) corresponds to the point .
D) corresponds to the point .​ ​
E)Not possible

Question 16

Evaluate the trigonometric function using its period as an aid.​ ​

A)
B)
C)
D)
E)

Question 17

Find the point (x,y)on the unit circle that corresponds to the real number t.​ ​

A) corresponds to the point .
B) corresponds to the point .
C) corresponds to the point .
D) corresponds to the point .
E) corresponds to the point .

Question 18

Evaluate the trigonometric function using its period as an aid.​ ​

A)
B)
C)
D)
E)

Question 19

Evaluate (if possible)the sine,cosine,and tangent of the real number.​ ​

A) corresponds to the point .
B) corresponds to the point . ​
C) corresponds to the point . ​
D) corresponds to the point .​
E)Not possible

Question 20

Find the point (x,y)on the unit circle that corresponds to the real number t.​ ​

A) corresponds to the point .
B) corresponds to the point .
C) corresponds to the point .
D) corresponds to the point .
E) corresponds to the point .

Question 21

Find the value of given trigonometric function.Round your answer to four decimal places.​ ​

A) - 0.5000
B) 0.6000
C) 0.4000
D) 0.7000
E) 0.5000

Question 22

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 23

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 24

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 25

Find the value of given trigonometric function.Round your answer to four decimal places.​ ​

A)
B)
C)
D)
E)

Question 26

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 27

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 28

Evaluate the trigonometric function using its period as an aid.​ ​

A)
B)
C)
D)
E)

Question 29

Find the value of given trigonometric function.Round your answer to four decimal places..​ ​

A)
B)
C)
D)
E)

Question 30

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 31

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 32

Use the value of the trigonometric function to find the .​ ​

A)
B)
C)
D)
E)

Question 33

Find the value of given trigonometric function.Round your answer to four decimal places.​ ​

A)
B)
C)
D)
E)

Question 34

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 35

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 36

Find the value of given trigonometric function.Round your answer to four decimal places.​ ​

A)
B)
C)
D)
E)

Question 37

Find the value of given trigonometric function.Round your answer to four decimal places.​ ​

A) 0.3142
B) 0.6142
C) - 0.4142
D) 0.4142
E) 0.5142

Question 38

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 39

Use the value of the trigonometric function to find .​ ​

A)
B)
C)
D)
E)

Question 40

Evaluate the trigonometric function using its period as an aid.​ ​

A)
B)
C)
D)
E)

Question 41

Find the value of given trigonometric function.Round your answer to four decimal places.​ ​

A)
B)
C)
D)
E)

Question 42

Find the value of given trigonometric function.Round your answer to four decimal places.​ ​

A)
B)
C)
D)
E)

Question 43

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 feet)and t is the time (in seconds).Complete the following table.(Round your answer to four decimal places. ) ​

A)
B)
C)
D)
E)

Question 44

Find the value of given trigonometric function.Round your answer to four decimal places.​ ​

A)
B)
C)
D)
E)

Question 45

The displacement from equilibrium of an oscillating weight suspended by a spring is given by ,where y is the displacement (in feet)and t is the time (in seconds).Find the displacements when .(Round your answers to two decimal places. )
​

A) foot
B) foot
C) foot
D) foot
E) foot

Question 46

Find the point on the unit circle that corresponds to the real number .Use your results to evaluate .

A)
B)
C)
D)
E)

Question 47

The displacement from equilibrium of an oscillating weight suspended by a spring is given by ,where y is the displacement (in feet)and t is the time (in seconds).Find the displacements when .
​

A) foot
B) foot
C) foot
D) foot
E) foot

Question 48

Find the value of given trigonometric function.Round your answer to four decimal places.​ ​

A)
B)
C)
D)
E)

Question 49

Find the point on the unit circle that corresponds to the real number .Use your results to evaluate .

A)
B)
C)
D)
E)

Question 50

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 answer to four decimal places.

A)-3.7018 cm
B)-6.4350 cm
C)23.8825 cm
D)2.9298 cm
E)-1.6362 cm