Answer
$-\tan\theta\sin\theta$
Work Step by Step
Using the identities given: $\cos\theta-\frac{1}{\cos\theta}=\frac{\cos^2\theta-1}{\cos\theta}=\frac{-\sin^2\theta}{\cos\theta}=-\tan\theta\sin\theta$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 2 - Section 2.4 - Applications - 2.4 Problem Set - Page 96: 48
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