Algebra and Trigonometry 10th Edition

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

Chapter 7 - 7.3 - Solving Trigonometric Equations - 7.3 Exercises - Page 530: 29


$x=\frac{\pi}{4}$ and $x=\frac{5\pi}{4}$

Work Step by Step

$sin~x-2=cos~x-2$ $sin~x=cos~x-2+2$ $sin~x=cos~x$ $\frac{sin~x}{cos~x}=1$ $tan~x=1$ The solutions in the interval $[0,2\pi)$ are: $x=\frac{\pi}{4}$ and $x=\frac{5\pi}{4}$
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