Trigonometry 7th Edition

Published by Cengage Learning

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

Answer

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 $\frac{2\pi}{\frac{1}{10}}=2\pi\times10=20\pi$.

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