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: 70

Answer

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

Work Step by Step

$\sin \left( 45+\theta \right) =\sin 45\cos \theta +\cos 45\sin \theta =\dfrac {\sqrt {2}}{2}\cos \theta +\dfrac {\sqrt {2}}{2}\sin \theta =\dfrac {\sqrt {2}}{2}\left( \cos \theta +\sin \theta \right) $
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