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: 12

Answer

$cscxsecx$

Work Step by Step

$\dfrac {secx}{cscx}+\dfrac {cscx}{secx}=\dfrac {\dfrac {1}{\cos x}}{\dfrac {1}{\sin x}}=\dfrac {\dfrac {1}{\sin x}}{\dfrac {1}{\cos x}}=\dfrac {\sin x}{\cos x}+\dfrac {\cos x}{\sin x}=\dfrac {\sin ^{2}x+\cos ^{2}x}{\sin x\cos x}=\dfrac {1}{\sin x\cos x}=cscxsecx$
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