Answer
See below.
Work Step by Step
Using the given identities: $(\tan^2x+1)(\cos^2x-1)=\sec^2x(-\sin^2x)=\frac{1}{\cos^2x}(-\sin^2x)=\frac{-\sin^2x}{\cos^2x}=-\tan^2x$
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 - Guided Practice for Examples 4, 5, and 6 - Page 927: 9
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