Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.3 Sum and Difference Identities - 7.3 Exercises: 73

Answer

$\dfrac {\sqrt {2}}{2}\left( \cos x+\sin x\right) $

Work Step by Step

$\sin \left( \dfrac {\pi }{4}+x\right) =\sin \dfrac {\pi }{4}\cos x+\cos \dfrac {\pi }{4}\sin x=\dfrac {\sqrt {2}}{2}\cos x+\dfrac {\sqrt {2}}{2}\sin x=\dfrac {\sqrt {2}}{2}\left( \cos x+\sin x\right) $
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.