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: 26

Answer

The identity is verified. The graph of $f(y)=cot^2y(sec^2y-1)$

Work Step by Step

$1+tan^2y=sec^2y$ $tan^2y=sec^2y-1$ $cot^2y(sec^2y-1)=cot^2y~tan^2y=\frac{1}{tan^2y}·tan^2y=1$
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