Precalculus (6th Edition)

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: 11

Answer

$sec\theta csc\theta $

Work Step by Step

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