Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

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: 111

Answer

even, symmetric, the y-axis.

Work Step by Step

For $f(\theta)=sec\theta=\frac{1}{cos\theta}$, we have $f(-\theta)=sec(-\theta)=sec\theta=f(\theta)$, thus it is even and symmetric with respect to the y-axis.
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