Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - Review Exercises - Page 552: 24

Answer

The identity is verified. $\frac{1}{tan~x~csc~x~sin~x}=cot~x$

Work Step by Step

$csc~x=\frac{1}{sin~x}$ $cot~x=\frac{1}{tan~x}$ $\frac{1}{tan~x~csc~x~sin~x}=\frac{1}{tan~x~\frac{1}{sin~x}~sin~x}=\frac{1}{tan~x}=cot~x$
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