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: 8

Answer

$Amplitude=5$ $Period=6$

Work Step by Step

If $y=a~sin(bx)$ $Amplitude=|a|$ $Period=\frac{2\pi}{b}$ $y=-5~sin(\frac{\pi x}{3})$ $Amplitude=|-5|=5$ $Period=\frac{2\pi}{\frac{\pi}{3}}=2\pi\frac{3}{\pi}=\frac{6\pi}{\pi}=6$
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