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: 11

Answer

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

Work Step by Step

Step 1. Given $y=3cos(\pi x-2)+5=3cos[\pi (x-\frac{2}{\pi})]+5$, we can find the amplitude $|A|=3$, period $p=\frac{2\pi}{\pi}=2 $, and phase shift $\phi=\frac{2}{\pi}$. Step 2. See graph.
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