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: 10


$Amplitude=\frac{1}{4}$ $Period=12\pi$

Work Step by Step

If $y=a~sin(bx)$ $Amplitude=|a|$ $Period=\frac{2\pi}{b}$ $y=\frac{1}{4}~sin(\frac{x}{6})$ $Amplitude=|\frac{1}{4}|=\frac{1}{4}$ $Period=\frac{2\pi}{\frac{1}{6}}=2\pi\frac{6}{1}=12\pi$
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