Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.2 Verifying Trigonometric Identities - 7.2 Exercises: 42

Answer

$\csc^2\alpha$

Work Step by Step

$\frac{1}{\tan^2\alpha}+\cot\alpha\tan\alpha$ $=(\frac{1}{\tan\alpha})^2+\frac{\cos\alpha}{\sin\alpha}*\frac{\sin\alpha}{\cos\alpha}$ $=\cot^2\alpha+1$ $=\csc^2\alpha$
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