PreCalculus Name______________________________

Chapter 8 Test Review – Day 1 Date__________________________

1. Solve cos 0.4 for 00 360o . Give answers to the nearest tenth of a degree.

2. Give the amplitude and period of1

2sin2

y x . Then sketch its graph.

3. Describe how to obtain the graph of 1 3cos 4 2y x from the graph of cosy x .

4. Simplify the following expressions.

a. 1

sin2

x

b. 1 csc 1 csc

5. Solve the following over the domain 00 360o .

If necessary, give answers to the nearest tenth of a degree.

a. 2sin sin 0

b. 4 tan 1 0

PreCalculus Name______________________________

Chapter 8 Test Review – Day 1 Date__________________________

c. sin cos sin

d. 2sin 1 3cos 1 0

6. Solve the following over the domain 0 2 . If

necessary, give answers to the nearest hundredth hundredth of a radian.

a. 1 cos 4 0

b. 3tan 3tan

c. 2sin 1 sin cos

7. Write an equation in the specified form for the

graph shown at the right.

a. As a cosine function

b. As a sine function

PreCalculus Name______________________________

Chapter 8 Test Review – Day 1 Date__________________________

8. A giant Ferris wheel is 60 feet in diameter. The Ferris wheel completes a revolution every 5

minutes.

a. Draw a graph of the height, h, a person is above the ground t minutes after boarding. Assume that

closest a chair gets to the ground is 2 feet.

b. Write a function for the height, h, a person is above the ground t minutes after boarding.

c. How high above the ground is a person 13 minutes after boarding the Ferris wheel?

9. Give the amplitude and period of each function. Then sketch its graph.

a. 1.5sin 2y x b. 2 3cosy x

10. Simplify.

a. sec tan cos b. cos 90 csc sino A A A