Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.6 - Graphs of Other Trigonometric Functions - Exercise Set - Page 612: 95


$$y=2\csc \frac{2}{3}x$$

Work Step by Step

Please note that a cosecant function $y=A\csc Bx$ has range $(- \infty, -|A|] \cup [|A|, \infty )$ and period $\frac{2\pi }{B}$. According to the information given in the question, we find that this is a cosecant function with $|A|$=2 and $B=\frac{2\pi }{3\pi }=\frac{2}{3}$. Thus,$$y=2\csc \frac{2}{3}x.$$
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