Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 6 - Section 6.2 - More on Trigonometric Equations - 6.2 Problem Set - Page 333: 45


$x=\frac{\pi}{4}+2k\pi $

Work Step by Step

We find: $cos(x)-sin(x)=\sqrt{2}$ :$\;\;\;\;\;x=\frac{\pi}{4}\;\;\;\;\;\;\;\;$ The expressions of all solutions is: $x=\frac{\pi}{4}+2\pi k\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;where \;\;\;\;\;\;\;\;\;\;k=\{0,1,2,3,......\}$
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