Answer
The graphs appear to coincide.
Work Step by Step
Please note that$$\cos ^2 \frac{x}{2}= \frac{1+\cos x}{2}.$$So we have$$4\cos ^2 \frac{x}{2}=4(\frac{1+\cos x}{2})=2+2\cos x.$$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 5 - Section 5.3 - Double-Angle, Power-Reducing, and Half-Angle Formulas - Exercise Set - Page 682: 96
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