Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.5 - Graphs of Sine and Cosine Functions - Exercise Set - Page 599: 118


Please see below.

Work Step by Step

Please note that according to the identity $\cos^2x=\frac{1}{2}+ \frac{1}{2}\cos 2x$, the graph of $y= \cos^2x$ (the red graph) is the graph of $y=\cos 2x$ (the blue graph) vertically shrunk by a factor of $\frac{1}{2}$ and then shifted up $\frac{1}{2}$ unit. The period of $y=\cos^2x$ equals the period of $\cos 2x$, that is $\frac{2 \pi }{2}=\pi$.
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