Answer
$f(x)=\tan x$ is an odd function.
Work Step by Step
$$f(x)=\tan x$$
As we work out in exercise 25, $$\tan(-x)=-\tan x$$
Therefore, $$f(-x)=\tan(-x)=-\tan x=-f(x)$$
According to the definition given, $f(x)=\tan x$ is an odd function.
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 5 - Trigonometric Identities - Section 5.1 Fundamental Identities - 5.1 Exercises - Page 194: 26
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