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 476: 53

Answer

See explanations.

Work Step by Step

$LHS=\frac{sin\theta}{sin\theta-cos\theta}\times\frac{1/sin\theta}{1/sin\theta}=\frac{1}{1-cos\theta/sin\theta}=\frac{1}{1-cot\theta}=RHS$
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