Answer
$\sec\theta$
Work Step by Step
Using the given identities: $\cos\theta(1+\tan^2\theta)=\cos\theta\sec^2\theta=\cos\theta\frac{1}{\cos^2\theta}=\frac{1}{\cos\theta}=\sec\theta$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.3 Verify Trigonometric Identities - 14.3 Exercises - Skill Practice - Page 928: 13
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