Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - Review Questions - Page 501: 72

Answer

The graph of $-cos~3x$ with two periods is shown below.

Work Step by Step

The period of $cos~x$ is $2\pi$. We want two periods ($4\pi$). Then, $0\lt3x\lt4\pi$ $0\lt x\lt\frac{4\pi}{3}$ Maximum: $-cos~3x=1$ $cos~3x=-1$ $3x=\pi$ and $3x=3\pi$ $x=\frac{\pi}{3}$ and $x=\pi$ Minimum: $-cos~3x=-1$ $cos~3x=1$ $3x=0$ and $3x=2\pi$ $x=0$ and $x=\frac{2\pi}{3}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.