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: 65

Answer

See below.

Work Step by Step

$LHS=\frac{sin(u)/cos(u)-cos(u)/sin(u)}{sin(u)/cos(u)+cos(u)/sin(u)}+1=\frac{sin^2(u)-cos^2(u)}{sin^2(u)+cos^2(u)}+1=sin^2(u)-cos^2(u)+1=2sin^2(u)=RHS$
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