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 - Concept and Vocabulary Check - Page 609: 8

Answer

True.

Work Step by Step

Please note that vertical asymptotes of $y=2 \csc 2x=\frac{2}{\sin 2x}$ occur at $x$-intercepts of $y=2\sin 2x$. So $x=\frac{\pi }{2}$ is a vertical asymptote of $y=2 \csc 2x$ since $2\sin 2 (\frac{\pi }{2})=0$.
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