Answer
$2\cos ^{2}\dfrac {x}{2}\tan x=\tan x+\sin x$
Work Step by Step
$2\cos ^{2}\dfrac {x}{2}\tan x=2\times \dfrac {\left( 1+\cos x\right) }{2}\tan x=\left( 1+\cos x\right) \tan x=\tan x+\sin x$
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 - Summary Exercises Verifying Trigonometric Identities - Exercises - Page 696: 24
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