Precalculus (6th Edition) Blitzer

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

Chapter 5 - Section 5.4 - Product-to-Sum and Sum-to-Product Formulas - Exercise Set - Page 690: 45

Answer

The graphs do not appear to coincide.

Work Step by Step

Please note that the graphs of $y=\sin x +\sin 2x$ (the red graph) and $y=\sin 3x$ (the blue graph) do not coincide. For $x=\frac{\pi }{2}$ we have$$\sin \frac{\pi }{2} + \sin 2(\frac{\pi }{2})=1 \neq -1 = \sin \frac{3\pi }{2}.$$
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.