Answer
The trigonometric Identity is verified.
$cos^2β-sin^2β=2~cos^2β-1$
Work Step by Step
We know that:
$cos^2β+sin^2β=1$
$cos^2β-1=-sin^2β$
Start al the left side of the equation:
$cos^2β-sin^2β=cos^2β+cos^2β-1=2~cos^2β-1$
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: 13
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