Answer
$\left( 1+\cos ^{2}x\right) ^{2}$
Work Step by Step
$\cos ^{4}x+2\cos ^{2}x+1=\left( \cos ^{2}x\right) ^{2}+2\times 1\times \cos ^{2}x+1^{2}=\left( 1+\cos ^{2}x\right) ^{2}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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 - Page 666: 29
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