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: 39


The identity is verified. $(1+sin~y)[1+sin(-y)]=cos^2y$

Work Step by Step

$sin^2y+cos^2y=1$ $cos^2y=1-sin^2y$ $(1+sin~y)[1+sin(-y)]=(1+sin~y)(1-sin~y)=1^2-sin^2y=cos^2y$
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