Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 7 - Trigonometry and Periodic Functions - 7.6 The Tangent Function - Exercises and Problems for Section 7.6 - Exercises and Problems - Page 303: 18

Answer

A flip of $\tan \theta$ around the $y$-axis.

Work Step by Step

$\tan(-\theta)$ is the same as $f(-\theta)$ for $f(\theta)=\tan \theta$. Since $f(-\theta)$ is a reflection of $f(x)$ about the $y$-axis, this function is a flip of $\tan x$ about the $y$-axis.
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