Answer
The identity is verified.
$\frac{csc(-x)}{sec(-x)}=-cot~x$
Work Step by Step
$\frac{csc(-x)}{sec(-x)}=\frac{-csc~x}{sec~x}=-\frac{\frac{1}{sin~x}}{\frac{1}{cos~x}}=-\frac{1}{sin~x}~\frac{cos~x}{1}=-\frac{cos~x}{sin~x}=-cot~x$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 7 - 7.2 - Verifying Trigonometric Identities - 7.2 Exercises - Page 520: 36
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