Answer
$1+secx$
Work Step by Step
$\tan x\left( \cot x+cscx\right) =\tan x\cot x+\tan xcscx=1+\dfrac {\sin x}{\cos x}\times \dfrac {1}{\sin x}=1+\dfrac {1}{\cos x}=1+secx$
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 - 7.2 Verifying Trigonometric Identities - 7.2 Exercises - Page 666: 13
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