Precalculus (6th Edition)

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: 13


$\dfrac {\sin \theta +\tan \theta }{1+\cos \theta }=\tan \theta $

Work Step by Step

$\dfrac {\sin \theta +\tan \theta }{1+\cos \theta }=\dfrac {\sin \theta +\dfrac {\sin \theta }{\cos \theta }}{1+\cos \theta }=\dfrac {\dfrac {\sin \theta }{\cos \theta }\left( \cos \theta +1\right) }{1+\cos \theta }=\dfrac {\sin \theta }{\cos \theta }=\tan \theta $
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