inverse trigonometric functions quiz

1) Find x to the nearest degree if x = sin-1 (2/3)

a. 1°

b. 42°

c. 48°

d. 73°

2) Find x to the nearest degree if x = arctan 0.

a. 270°

b. 90°

c. 45°

d. 0°

3) Find x in radians if x = arccos (¼). Round to the nearest hundredth.

a. 1.32

b. 75.52

c. 0.97

d. 1.00

4) Find x in radians if x = sin-1(5/8). Round to the nearest hundredth.

a. 0.01

b. 38.7

c. 0.68

d. 0.59

5) Find the value of the expression below. Round to the nearest hundredth.

a. 88.3

b. 0.66

c. 1.51

d. 57.3

6) Find the value of the expression below. Round to the nearest tenth.

a. 0.76

b. 1.00

c. 0.63

d. 1.59

7) Find the value of the expression below. Round to the nearest hundredth.

tan(Arctan 4)

a. 75.96

b. 4

c. 0.00

d. 89.25

8) Simplify [cos(arc cos x)] ⢠[(Arc sin(sin y)]

A. x/y

B x2y2

C. xy

D. x

9) The cruise ship Reno sailed due West 24 miles before turning south. When the Reno became disabled and radioed for help, the rescue boat found that the fastest route to her covered a distance of 48 miles. The cosine of the angle at which the rescue boat should sail is 0.5. Find the angle Î, nearest tenth of a degree, at which the rescue boat should travel to aid the Reno.

a. 26.6°

b. 30°

c. 60°

d. 87.3°

10) To the nearest degree, what is the angle of depression Î between the shallow end and the deep end of the swimming pool shown below?

a. 25°

b. 37°

c. 53°

d. 73°