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: 25

Answer

$4\sin x$

Work Step by Step

$\left( \sin x+1\right) ^{2}-\left( \sin x-1\right) ^{2}=\left( \left( \sin x+1\right) -\left( \sin x-1\right) \right) \left( \left( \sin x+1\right) +\left( \sin x-1\right) \right) =2\times \left( 2\sin x\right) =4\sin x$
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