Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 6.5 Assess Your Understanding - Page 417: 6

Answer

True.

Work Step by Step

True, because all of four of them have either $\sin(x)$ or $\cos(x)$ as their denominators, which are $0$ infinitely many times. Hence the original function is undefined infinitely many times. Thus, their graphs have infinitely many vertical asymptotes.
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