Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 4 - Section 4.2 - Amplitude, Reflection, and Period - 4.2 Problem Set - Page 205: 43


10; $20\pi$

Work Step by Step

We know that if $A$ is a real number and $B\gt0$, then the graphs of $y=Asin(Bx)$ and $y=Acos(Bx)$ will have an amplitude of $|A|$ and a period of $\frac{2\pi}{B}$. Therefore, the amplitude of the graph of $y=-10cos\frac{x}{10}$ is $|-10|=10$ Therefore, the period of the graph of $y=-10cos\frac{x}{10}$ is $\frac{2\pi}{\frac{1}{10}}=2\pi\times10=20\pi$.
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.