Answer
$-∞\leq tan~θ\leq∞$
$0\leq\sqrt {1-sec^2θ}\leq∞$
Example:
$θ=225°$:
$tan~225°=-1\ne\sqrt {sec^2225°-1}=\sqrt {(\sqrt 2)^2-1}=1$
Work Step by Step
$tan^2θ+1=sec^2θ$
$tan^2θ=sec^2θ-1$
$tan~θ=±\sqrt {sec^2θ-1}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
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
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
