Answer
$\sec^2x$
Work Step by Step
$\frac{\sin^2x}{\cos^2x}+\sin x\csc x$
$=(\frac{\sin x}{\cos x})^2+\sin x*\frac{1}{\sin x}$
$=\tan^2x+1$
$=\sec^2x$
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: 41
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