Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 5 - Trigonometric Identities - Section 5.2 Verifying Trigonometric Identities - 5.2 Exercises - Page 204: 85

Answer

The equation is NOT an identity.

Work Step by Step

Use a graphing utility to graph $y=\dfrac{\tan{x}-\cot{x}}{\tan{x}+\cot{x}}$ and $y=2\sin^2{x}$. (Refer to the graphs below.) Note that the graphs are different from each other This means that the given equation is not an identity.
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