Answer
$\{x|x\ne k\pi+\frac{3\pi}{4}\}$ (k is an integer)
Work Step by Step
The domain requirement for the given function is $sin(x)+cos(x)\ne0$ or $tan(x)\ne-1$ which gives $x\ne k\pi+\frac{3\pi}{4}$ (k is an integer)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 9 - Analytic Geometry - Cumulative Review - Page 721: 10
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