Answer
The trigonometric Identity is verified.
$(1-sin~α)(1+sin~α)=1-sin^2α=cos^2α$
Work Step by Step
We have that:
$cos^2α+sin^2α=1$
$cos^2α=1-sin^2α$
So:
$(1-sin~α)(1+sin~α)=1-sin^2α=cos^2α$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 7 - 7.2 - Verifying Trigonometric Identities - 7.2 Exercises - Page 520: 11
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