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: 4

Answer

$$(-\frac{\pi }{4}, \frac{3\pi }{4}), \\ -\frac{\pi }{4}, \\ \frac{3\pi }{4}$$

Work Step by Step

Please note that in order to find the interval containing one period and the two consecutive asymptotes, we need to solve the following inequality:$$0 \lt x+\frac{\pi }{4} \lt \pi \quad \Rightarrow \quad -\frac{\pi }{4} \lt x \lt \frac{3\pi }{4}$$
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