Algebra and Trigonometry 10th Edition

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

Chapter 6 - 6.4 - Graphs of Sine and Cosine Functions - 6.4 Exercises - Page 464: 12

Answer

$Amplitude=\frac{2}{5}$ $Period=\frac{1}{5}$

Work Step by Step

If $y=a~cos(bx)$ $Amplitude=|a|$ $Period=\frac{2\pi}{b}$ $y=-\frac{2}{5}~cos(10\pi x)$ $Amplitude=|-\frac{2}{5}|=\frac{2}{5}$ $Period=\frac{2\pi}{10\pi}=\frac{1}{5}$
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