Answer
$origin$, $k\pi+\frac{\pi}{2}$ (k is an integer).
Work Step by Step
Examine the graph of $y=tan(x)$, we can see that it is symmetric with respect to the $origin$ and has vertical asymptotes at $x=k\pi+\frac{\pi}{2}$ (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 5 - Trigonometric Functions - Section 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 5.5 Assess Your Understanding - Page 441: 3
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