Answer
See below.
Work Step by Step
$\tan(-x)\csc x=\frac{\sin(-x)}{\cos(-x)}\frac{1}{\sin(x)}=\frac{-\sin(x)}{\cos(x)}\frac{1}{\sin(x)}=\frac{-1}{\cos(x)}=-\sec(x)$
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: 23
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