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: 29

Answer

The identity is verified. $\frac{1}{tan~\beta}+tan~\beta$: black $\frac{sec^2\beta}{tan~\beta}$: red

Work Step by Step

$\frac{1}{tan~\beta}+tan~\beta=\frac{1}{tan~\beta}+tan~\beta~\frac{tan~\beta}{tan~\beta}=\frac{1+tan^2\beta}{tan~\beta}=\frac{sec^2\beta}{tan~\beta}$
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