Deck 5: Trigonometric Functions

Question 1

Draw the angle.

Answer 1

B

Question 2

Draw the angle.

Answer 2

A

Question 3

Convert the angle to a decimal in degrees. Round the answer to two decimal places.

Answer 3

A

Question 4

Draw the angle.

Question 5

Draw the angle.

Question 6

Draw the angle.

Question 7

Convert the angle to a decimal in degrees. Round the answer to two decimal places.

Question 8

Convert the angle to D° M' S'' form. Round the answer to the nearest second.

Question 9

Convert the angle to a decimal in degrees. Round the answer to two decimal places.

Question 10

Draw the angle.

Question 11

If s denotes the length of the arc of a circle of radius r subtended by a central angle θ, find the missing quantity.

Question 12

Convert the angle to a decimal in degrees. Round the answer to two decimal places.

Question 13

Draw the angle.

Question 14

Convert the angle to D° M' S'' form. Round the answer to the nearest second.

Question 15

Draw the angle.

Question 16

Draw the angle.

Question 17

Convert the angle to D° M' S'' form. Round the answer to the nearest second.

Question 18

Convert the angle to a decimal in degrees. Round the answer to two decimal places.

Question 19

Draw the angle.

Question 20

If s denotes the length of the arc of a circle of radius r subtended by a central angle θ, find the missing quantity.

Question 21

Choose the one alternative that best completes the statement or answers the question.

Question 22

Find the length s. Round the answer to three decimal places.

Question 23

Convert the angle in radians to degrees.

Question 24

Solve the problem.
A ship in the Atlantic Ocean measures its position to be 30°48' north latitude. Another ship is reported to be due north of the first ship at 41°17' north latitude. Approximately how far apart are the two ships? Round to the
Nearest mile. Assume that the radius of the Earth is 3960 miles.

A) 725 mi
B) 75,966 mi
C) 75,991 mi
D) 1,351 mi

Question 25

Convert the angle in radians to degrees.

Question 26

Find the length s. Round the answer to three decimal places.

Question 27

Find the length s. Round the answer to three decimal places.

Question 28

Convert the angle in radians to degrees.

Question 29

Convert the angle in radians to degrees.

Question 30

Convert the angle in radians to degrees.

Question 31

If s denotes the length of the arc of a circle of radius r subtended by a central angle θ, find the missing quantity.

Question 32

Solve the problem.

Question 33

Find the length s. Round the answer to three decimal places.

Question 34

If s denotes the length of the arc of a circle of radius r subtended by a central angle θ, find the missing quantity.

Question 35

Convert the angle in radians to degrees.

Question 36

Solve the problem.

Question 37

Choose the one alternative that best completes the statement or answers the question.

Question 38

Convert the angle in radians to degrees.

Question 39

Convert the angle in radians to degrees.

Question 40

Write the word or phrase that best completes each statement or answers the question.

Question 41

Solve the problem.

Question 42

Find the area A. Round the answer to three decimal places.

Question 43

Solve the problem.

Question 44

Find the area A. Round the answer to three decimal places.

Question 45

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If
necessary, round the answer to two decimal places.

Question 46

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If
necessary, round the answer to two decimal places.

Question 47

Find the area A. Round the answer to three decimal places.

Question 48

Find the area A. Round the answer to three decimal places.

Question 49

Solve the problem.

Question 50

Convert the angle in radians to degrees. Express the answer in decimal form, rounded to two decimal places.

Question 51

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If
necessary, round the answer to two decimal places.

Question 52

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If
necessary, round the answer to two decimal places.

Question 53

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If
necessary, round the answer to two decimal places.

Question 54

Convert the angle in radians to degrees. Express the answer in decimal form, rounded to two decimal places.

Question 55

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If
necessary, round the answer to two decimal places.

Question 56

Convert the angle in radians to degrees. Express the answer in decimal form, rounded to two decimal places.

Question 57

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If
necessary, round the answer to two decimal places.

Question 58

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If
necessary, round the answer to two decimal places.

Question 59

Convert the angle in degrees to radians. Express the answer in decimal form, rounded to two decimal places.

Question 60

Convert the angle in degrees to radians. Express the answer in decimal form, rounded to two decimal places.

Question 61

Solve the problem.

Question 62

Solve the problem.

Question 63

Solve the problem.

Question 64

Solve the problem.

Question 65

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of
the indicated trigonometric function of t.

Question 66

Solve the problem.

Question 67

Solve the problem.
A pick-up truck is fitted with new tires which have a diameter of 44 inches. How fast will the pick-up truck be moving when the wheels are rotating at 430 revolutions per minute? Express the answer in miles per hour
Rounded to the nearest whole number.

A) 9 mph
B) 47 mph
C) 28 mph
D) 56 mph

Question 68

Solve the problem.

Question 69

Write the word or phrase that best completes each statement or answers the question.
ble. Find the linear speed of each moon. Which is the fastest (in terms of linear speed)?

Question 70

Solve the problem.

Question 71

Choose the one alternative that best completes the statement or answers the question.
In a computer simulation, a satellite orbits around Earth at a distance from the Earth's surface of 2.4 x 104 miles. The orbit is circular, and one revolution around Earth takes 10.1 days. Assuming the radius of the Earth is 3960
Miles, find the linear speed of the satellite. Express the answer in miles per hour to the nearest whole mile.

A) 115 mph
B) 725 mph
C) 15,322 mph
D) 622 mph

Question 72

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of
the indicated trigonometric function of t.

Question 73

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of
the indicated trigonometric function of t.

Question 74

Solve the problem.
The Earth rotates about its pole once every 24 hours. The distance from the pole to a location on Earth 35° north latitude is about 3,243.8 miles. Therefore, a location on Earth at 35° north latitude is spinning on a circle of
Radius 3,243.8 miles. Compute the linear speed on the surface of the Earth at 35° north latitude.

A) 135 mph
B) 20,381 mph
C) 795 mph
D) 849 mph

Question 75

Choose the one alternative that best completes the statement or answers the question.
A carousel has a radius of 15 feet and takes 28 seconds to make one complete revolution. What is the linear speed of the carousel at its outside edge? If necessary, round the answer to two decimal places.

A) 94.25 ft/sec
B) 0.54 ft/sec
C) 3.37 ft/sec
D) 11.73 ft/sec

Question 76

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of
the indicated trigonometric function of t.

Question 77

Solve the problem.

Question 78

Solve the problem.
To approximate the speed of a river, a circular paddle wheel with radius 0.5 feet is lowered into the water. If the current causes the wheel to rotate at a speed of 11 revolutions per minute, what is the speed of the current? If
Necessary, round to two decimal places.

A) 0.06 mph
B) 34.56 mph
C) 0.2 mph
D) 0.39 mph

Question 79

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of
the indicated trigonometric function of t.

Question 80

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of
the indicated trigonometric function of t.