Algebra and Trigonometry 10th Edition

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: 10

Answer

The trigonometric Identity is verified. $\frac{tan~x~cot~x}{cos~x}=sec~x$

Work Step by Step

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