Answer
$\sin x$
Work Step by Step
Using the given identities: $\frac{\sec x\sin x+\cos(\pi/2-x)}{1+\sec x}=\frac{\frac{1}{\cos x}\sin x+\sin x}{1+\frac{1}{\cos x}}=\frac{\sin x(1+\frac{1}{\cos x})}{1+\frac{1}{\cos x}}=\sin x$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.3 Verify Trigonometric Identities - 14.3 Exercises - Skill Practice - Page 928: 19
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