Answer
$\pm\frac{\pi}{2},\pm\frac{3\pi}{2}$.
Work Step by Step
$y=tan(x)$ has vertical asymptotes when $x=k\pi+\frac{\pi}{2}$ (k is an integer). Within $[-2\pi,2\pi]$, we have $x=\pm\frac{\pi}{2},\pm\frac{3\pi}{2}$.
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 5 - Trigonometric Functions - Section 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 5.5 Assess Your Understanding - Page 441: 15
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