Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.4 Trigonometric Identities - 7.4 Assess Your Understanding - Page 477: 93

Answer

See below.

Work Step by Step

$LHS=\frac{tan\alpha+tan\beta}{cot\alpha+cot\beta}\times\frac{tan\alpha tan\beta}{tan\alpha tan\beta}=\frac{(tan\alpha+tan\beta)(tan\alpha tan\beta)}{tan\beta+tan\alpha}=tan\alpha\ tan\beta=RHS$
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