Trigonometry 7th Edition

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

Chapter 8 - Section 8.1 - Complex Numbers - 8.1 Problem Set - Page 426: 31


$x=\frac{\pi}{4}$ or $\frac{5\pi}{4}$, $y=\frac{\pi}{2}$

Work Step by Step

From the equation, we have $\cos x=\sin x$ and $\sin y=1$. $\cos x=\sin x$ implies $\tan x=1$. $\tan x=1$ when $x=\frac{\pi}{4}$ or $\frac{5\pi}{4}$. $\sin y=1=\sin \frac{\pi}{2}$. That is, $y=\frac{\pi}{2}$.
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