Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.6 Phase Shift; Sinusoidal Curve Fitting - 6.6 Assess Your Understanding - Page 428: 6

Answer

$|A|=3$, $p=\frac{2\pi}{2}=\pi $, $\phi=-\frac{\pi}{2}$. Step 2. See graph.

Work Step by Step

Step 1. Given $y=3cos(2x+\pi)=3cos[2(x+\frac{\pi}{2})]$, we can find the amplitude $|A|=3$, period $p=\frac{2\pi}{2}=\pi $, and phase shift $\phi=-\frac{\pi}{2}$. Step 2. See graph.
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