Algebra and Trigonometry 10th Edition

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: 12

Answer

The trigonometric Identity is verified. $cos^2β-sin^2β=2~cos^2β-1$

Work Step by Step

$sin^2β+cos^2β=1~~$ (Pythagoren Identity) $cos^2β-1=-sin^2β$ Now: $cos^2β-sin^2β=cos^2β+cos^2β-1=2~cos^2β-1$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.