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: 7


$Amplitude=\frac{3}{4}$ $Period=4$

Work Step by Step

If $y=a~cos(bx)$ $Amplitude=|a|$ $Period=\frac{2\pi}{b}$ $y=\frac{3}{4}~cos(\frac{\pi x}{2})$ $Amplitude=|\frac{3}{4}|=\frac{3}{4}$ $Period=\frac{2\pi}{\frac{\pi}{2}}=2\pi\frac{2}{\pi}=\frac{4\pi}{\pi}=4$
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