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Precalculus Unit 6 Practice Test

This document provides a practice test for pre-calculus chapter 6 with 10 multiple-choice and short-answer questions. The questions cover topics like graphing trigonometric functions, evaluating trigonometric functions, finding domains and ranges, and solving right triangles. Students are asked to show their work, use exact answers where possible, and express angle measures in radians.

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Steve Crow
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1K views4 pages

Precalculus Unit 6 Practice Test

This document provides a practice test for pre-calculus chapter 6 with 10 multiple-choice and short-answer questions. The questions cover topics like graphing trigonometric functions, evaluating trigonometric functions, finding domains and ranges, and solving right triangles. Students are asked to show their work, use exact answers where possible, and express angle measures in radians.

Uploaded by

Steve Crow
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Pre-Calculus NAME: _________________________

Chapter 6 Practice Test


NO Calculator

SHOW ALL WORK: Answers without adequate justification may not receive full credit. Give exact answers
wherever possible. Give angle answers in radians unless otherwise specified.

1. (10pts) For graph to the right

a. Amplitude: _________

b. Midline: _________

c. Period: _________

d. Equation using sine: _________________________________

1 𝑥
2. (10pts) Given. 𝑓(𝑥) = − cos ( ) − 1
2 2

a. Amplitude = _____________ b. Midline = _______________

c. Period = _________________

d. Sketch at least one full cycle of the graph. Be sure to label the axes.
3. (6pts) Write the equation for the following BASIC trig functions (they have not been transformed)

_____________________ _____________________ ___________________

4. (8pts) Evaluate each of the following.


√3
a) cos −1 (− ) ______________________
2

1
b) sin−1 (− ) ______________________
2

5. (6pts) State the domain and range of cos 1 ( x)


D: _____________________

R: _____________________

   2 
6. Evaluate: sin 1  tan  cos1      ________________________
 
(6pts)

   2 

  5 
7. (6pts) Evaluate: tan  sin 1    ________________________
  13  
Precalculus Chapter 6 Practice Test – Calculator Allowed Name__________________________

8. A cable that anchors the center of the London Eye Ferris wheel to the ground must be replaced. The
(6pts)

center of the Ferris wheel is 70 meters above the ground and the second anchor on the ground is 23 meters
from the base of the wheel. What is the angle from the ground up to the center of the Ferris wheel and how
long is the cable?

Angle:___________

Length:__________

9. A vacationer sits all day on the corner of a pier in Morro Bay and notices that at 9am, when the water
(10pts)

level is at its lowest, the water’s depth is 2 feet. At 3pm, 6 hours later, the water has risen to its maximum
depth of 12 feet. If the depth of the water level varies sinusoidally,

a. Find a formula for the depth of the water as a function of time, t, since 9am. (hint: you may want to sketch the
graph first)

b. What is the water depth 12 hours later at 9pm?

c. Sketch a graph of your function showing at least one full period


10. (6pts) If you were in a hot air balloon 500 feet over Atascadero, at what angle of depression would you look at
a point on the ground 800 feet horizontally from the balloon?

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