Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.2 Mathematical Models: A Catalog of Essential Functions - 1.2 Exercises: 5

Answer

The Domain is $x \ne \frac{\pi}{2}+2n\pi $, (n any integer)

Work Step by Step

$f(x) = \frac{cos (x)}{1-sin(x)}$ Lets find the Domain: $1 - sin (x) \ne 0$ $sin (x) \ne 1$ $x \ne \frac{\pi}{2}+2n\pi $, (n any integer) The Domain is $x \ne \frac{\pi}{2}+2n\pi $, (n any integer)
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