Precalculus (6th Edition) Blitzer

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: 87

Answer

The graphs do not appear to coincide.

Work Step by Step

The graph of $y=\sqrt{\sin ^2x+ \cos ^2x}$ (the red graph) and $y=\sin x + \cos x$ (the blue graph) do not coincide. For $x=\pi$ we have$$\sqrt{\sin ^2 \pi + \cos ^2 \pi}=1 \neq -1 = \sin \pi + \cos \pi .$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.