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: 61

Answer

See explanations.

Work Step by Step

Step 1. To prove the given identify, we need to prove $tan\theta+sec\theta-1=(tan\theta-sec\theta+1)(tan\theta+sec\theta)$ Step 2. Expand the right side to get $RHS=tan^2\theta-sec^2\theta+tan\theta+sec\theta=tan\theta+sec\theta-1=LHS$
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