Answer
$1-2\sin\theta\cos\theta$
Work Step by Step
Using the learned identities: $(\sin\theta-\cos\theta)^2=\sin^2\theta+\cos^2\theta-2\sin\theta\cos\theta=1-2\sin\theta\cos\theta$
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: 47
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