precalculus name chapter 8 test review day 1 date · precalculus name_____ chapter 8 test review...
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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