Answer
The identity is verified.
$\frac{1}{tan~x}+\frac{1}{cot~x}=cot~x+tan~x$
Work Step by Step
$\frac{1}{tan~x}+\frac{1}{cot~x}=\frac{1}{\frac{1}{cot~x}}+\frac{1}{\frac{1}{tan~x}}=cot~x+tan~x$
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: 19
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