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: 1

Answer

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

Work Step by Step

$\tan \theta +\cot \theta =\dfrac {\sin \theta }{\cos \theta }+\dfrac {\cos \theta }{\sin \theta }=\dfrac {\cos ^{2}\theta +\sin ^{2}\theta }{\cos \theta \sin \theta }=\dfrac {1}{\cos \theta \sin \theta }=sec\theta csc\theta $
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