Answer
odd, symmetric, the origin.
Work Step by Step
For $f(\theta)=tan\theta$, we have $f(-\theta)=tan(-\theta)=-tan\theta=-f(\theta)$, thus it is odd and symmetric with respect to the origin.
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 5.3 Properties of the Trigonometric Functions - 5.3 Assess Your Understanding - Page 419: 109
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