Precalculus (6th Edition)

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

Chapter 7 - Trigonometric Identities and Equations - 7.2 Verifying Trigonometric Identities - 7.2 Exercises: 32

Answer

$=\left( \sin \alpha +\cos \alpha )(1-\sin \alpha \cos \alpha \right) $

Work Step by Step

$\sin ^{3}\alpha +\cos ^{3}\alpha =\left( \sin \alpha +\cos \alpha \right) \left( \sin ^{2}\alpha -\sin \alpha \cos \alpha +\cos ^{2}\alpha \right) $ $=\left( \sin \alpha +\cos \alpha )(1-\sin \alpha \cos \alpha \right) $
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