Answer
$-1$
Work Step by Step
The identity says: $tan^2(\theta)+1=sec^2(\theta)$. Hence after subtracting (1+$sec^2(\theta)$) from both sides: $tan^2(\theta)-sec^2(\theta)=-1$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 7 - Analytic Trigonometry - 7.4 Trigonometric Identities - 7.4 Assess Your Understanding - Page 475: 4
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