Algebra 2 (1st Edition)

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


See below.

Work Step by Step

Using the given identities: $(\tan^2x+1)(\cos^2x-1)=\sec^2x(-\sin^2x)=\frac{1}{\cos^2x}(-\sin^2x)=\frac{-\sin^2x}{\cos^2x}=-\tan^2x$
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