Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.3 - Functions and Their Graphs - Exercises - Page 27: 25

Answer

All real numbers $x$ such that $x \ne 2\pi k $, where $k$ is an integer

Work Step by Step

The denominator must not be equal to zero: $1-\cos x \ne 0$ $\cos x \ne 1$ $x \ne 0, 2\pi, -2\pi, 4\pi, -4\pi ...$ The domain is all real numbers $x$ such that $x \ne 2\pi k $, where $k$ is an integer
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