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 438: 49

Answer

The period is $2$

Work Step by Step

To find the period, one must first find $b$ in the base equation of cosecant functions $f(x)=a\cdot $csc$(b(x-c))+d$, then use $\frac{2\pi}{b}$. In this case, $b$ is $\pi$, so the period is $\frac{2\pi}{\pi}=2$
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