Answer
The graphs do not appear to coincide.
Work Step by Step
The graph of $y=\cos (x+ \pi )$ (the red graph) and $y=\cos x$ (the blue graph) do not coincide.
For $x=0$ we have$$\cos (0+\pi )=-1 \neq 1 = \cos 0.$$
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 5.1 - Verifying Trigonometric Identities - Exercise Set - Page 660: 83
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