Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.4 - More Trigonometric Graphs - 5.4 Exercises - Page 439: 60

Answer

The period is $\frac{1}{3}$

Work Step by Step

To find the period, one must first find $b$ in the base equation of cotangent functions $f(x)=a\cdot $cot$(b(x-c))+d$, then use $\frac{\pi}{b}$. In this case, $b$ is $3\pi$, so the period is $\frac{\pi}{3\pi}=\frac{1}{3}$
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