Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.4 Trigonometric Functions - Preliminary Questions - Page 29: 2

Answer

$\dfrac{9\pi}{4},\dfrac{17\pi}{4}$

Work Step by Step

$\because \theta \text{ and } \theta + 2n \pi \text{ represent the same angle}$ $\text{Where } n \text{ is an integer}$ $\text{For } n=1, \text{ an equivalent positive angle to } \dfrac{\pi}{4} \text{ is:}$ $$\dfrac{\pi}{4}+2\pi = \dfrac{9\pi}{4}$$ $\text{For } n=2, \text{ an equivalent positive angle to } \dfrac{\pi}{4} \text{ is:}$ $$\dfrac{\pi}{4} +4\pi = \dfrac{17\pi}{4}$$
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