Answer
The statement in the question is false.
Work Step by Step
The statement in the question is false.
The least positive number $k$ for which $x=k$ is an asymptote for the cotangent function is $\pi$.
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 4 - Graphs of the Circular Functions - Section 4.3 Graphs of the Tangent and Cotangent Functions - 4.3 Exercises - Page 167: 40
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