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: 29

Answer

$\left( 1+\cos ^{2}x\right) ^{2}$

Work Step by Step

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