Answer
$2\left( 1+\sin t\right) $
Work Step by Step
$\left( 1+\sin t\right) ^{2}+\cos ^{2}t=1+2\sin t+\sin ^{2}t+\cos ^{2}t=2+2\sin t=2\left( 1+\sin t\right) $
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: 19
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