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 521: 68


$-∞\leq tan~θ\leq∞$ $0\leq\sqrt {1-sec^2θ}\leq∞$ Example: $θ=225°$: $tan~225°=-1\ne\sqrt {sec^2225°-1}=\sqrt {(\sqrt 2)^2-1}=1$

Work Step by Step

$tan^2θ+1=sec^2θ$ $tan^2θ=sec^2θ-1$ $tan~θ=±\sqrt {sec^2θ-1}$
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