Answer
The function is odd. Notice that the function is symmetric with respect to the origin.
$f(-x)=-f(x)$, that is $cot(-x)=-cot~x$
Work Step by Step
$cot(-x)=\frac{cos(-x)}{sin(-x)}=\frac{cos~x}{-sin~x}=-cot~x$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 6 - 6.5 - Graphs of Other Trigonometric Functions - 6.5 Exercises - Page 476: 59
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