Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.4 Trigonometric Functions and Their Inverse - 1.4 Exercises: 7

Answer

$tan(x)$ isn't defined for values $x=n\pi+\pi/2$ where n is an integer.

Work Step by Step

To understand where tan(x) isn't defined let us understand the function definition. tan(x) is defined as the sine of x over the cosine of x. So when ever $cos(x)$ isn't defined, we have ourselves an undefined value. $cos x=0$ at the values shown on the unit circle AND all added rotations.
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