Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - Review Exercises - Page 552: 36



Work Step by Step

$cos^2x+sin^2x=1$ $sin^2x=1-cos^2x$ $sin^2x+2cos~x=2$ $1-cos^2x+2cos~x-2=0$ $cos^2x-2~cos~x+2-1=0$ $cos^2x-2~cos~x+1=0$ $(cos~x-1)^2=0$ $cos~x-1=0$ $cos~x=1$ $x=0$
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