Answer
see graph.
Work Step by Step
For $y=cot(3x)$, we can identify its period as $p=\frac{\pi}{3}$ and its graph as a result of transformation from $y=cot(x)$ shrinking horizontally by a factor of $3$, see graph.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 6 - The Circular Functions and Their Graphs - 6.5 Graphs of the Tangent and Cotangent Functions - 6.5 Exercises - Page 623: 19
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