Deck 6: Inverse Circular Functions and Trigonometric Equations

Question 1

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.

Answer 1

Question 2

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.

Answer 2

D

Question 3

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.

Answer 3

The graph does not cross the x-axis.

Question 4

Solve the problem.

Question 5

Solve the problem.

Question 6

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.

Question 7

Use a calculator to give the real number value. Round the answer to 7 decimal places.

Question 8

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.

Question 9

Graph the inverse circular function.
5

Question 10

Give the exact value of the expression.

Question 11

Provide an appropriate response.

Question 12

Solve the equation for solutions in the interval [0°, 360°). Round to the nearest degree.

Question 13

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.

Question 14

Solve the problem.
It can be shown that if the angle of elevation from an observer to the top of an object is A and the angle of elevation d ft closer is B, then the height of the object is given by

Question 15

Solve the equation for solutions in the interval [0°, 360°). Round to the nearest degree.

Question 16

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.

Question 17

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.

Question 18

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.

Question 19

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.

Question 20

Use a calculator to give the real number value. Round the answer to 7 decimal places.

Question 21

Write the following as an algebraic expression in u, u > 0.

Question 22

Solve the equation for solutions over the interval [ ). Write solutions as exact values or to four decimal places, as
appropriate.

Question 23

Use a calculator to give the value to the nearest degree.

Question 24

Solve the equation in the interval [0°, 360°). Give solutions to the nearest tenth, if necessary.

Question 25

Use a calculator to find the value. Give answers as real numbers and round to 4 decimal places, if necessary.
sec (arctan 4.839)

A)4.9412
B)0.5
C)1
D)0.2024

Question 26

Solve the equation for exact solutions over the interval [0, 2

Question 27

Solve.

Question 28

Graph the inverse circular function.
7

Question 29

Use a calculator to find the value. Give answers as real numbers and round to 4 decimal places, if necessary.

Question 30

Use a calculator to give the real number value. Round the answer to 7 decimal places.

Question 31

Solve the problem.

Question 32

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.

Question 33

Provide an appropriate response.

Question 34

Use a calculator to give the value to the nearest degree.

Question 35

Solve the problem.
The figure shows a stationary spy satellite positioned 12,000 miles above the equator. What percent, to the nearest tenth, of the equator can be seen from the satellite? The diameter of Earth is 7927
Miles at the equator.

Question 36

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.

Question 37

Write the following as an algebraic expression in u, u > 0.

Question 38

Solve the equation for exact solutions.

Question 39

Solve the equation for exact solutions.

Question 40

Solve the equation for x, where x is restricted to the given interval.

Question 41

Solve.

Question 42

Give the degree measure of .

Question 43

Solve the equation for exact solutions over the interval [0, 2

Question 44

Give the exact value of the expression.

Question 45

Give the degree measure of .

Question 46

Solve the equation for solutions in the interval [0°, 360°). Round to the nearest degree.

Question 47

Give the exact value of the expression.

Question 48

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.

Question 49

Solve the equation for x, where x is restricted to the given interval.

Question 50

Solve.

Question 51

Write the following as an algebraic expression in u, u > 0.

Question 52

Solve the problem.

Question 53

Solve the equation for exact solutions over the interval [0, 2

Question 54

Solve the problem.
In the study of alternating electric current, capacitive voltage is given by

Question 55

Solve the equation in the interval [0°, 360°). Give solutions to the nearest tenth, if necessary.

Question 56

Solve.

Question 57

Use a calculator to give the value to the nearest degree.

Question 58

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.

Question 59

Solve the equation for exact solutions.

Question 60

Solve the problem.
The range r of a projectile is given by

Question 61

Graph the inverse circular function.
19

Question 62

Use a calculator to give the value to the nearest degree.

Question 63

Solve the problem.
The formula for the up-and-down motion of a weight on a spring is given by

Question 64

Use a calculator to give the value to the nearest degree.

Question 65

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.

Question 66

Write the following as an algebraic expression in u, u > 0.

Question 67

Use a calculator to find the value. Give answers as real numbers and round to 4 decimal places, if necessary.

Question 68

Solve the equation for solutions in the interval [0, 2

Question 69

Solve the equation for solutions over the interval [ ). Write solutions as exact values or to four decimal places, as
appropriate.

Question 70

Use a calculator to find the value. Give answers as real numbers and round to 4 decimal places, if necessary.

Question 71

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.

Question 72

Solve the equation for exact solutions.

Question 73

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.

Question 74

Use a calculator to give the real number value. Round the answer to 7 decimal places.

Question 75

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.

Question 76

Write the following as an algebraic expression in u, u > 0.
cos(arcsin u)

Question 77

Solve the equation for solutions in the interval [0°, 360°). Round to the nearest degree.
tan 4ϴ = 0

A){0°, 45°, 90°, 135°, 180°, 225°, 270°}
B){0°, 45°, 90°, 135°, 180°, 225°, 270°, 315°}
C){33°, 57°, 147°, 237°, 327°}
D){0°, 90°, 180°, 270°}

Question 78

Provide an appropriate response.

Question 79

Solve the equation for exact solutions over the interval [0, 2

Question 80

Solve the equation for solutions in the interval [0°, 360°). Round to the nearest degree.