Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.6 Trigonometric Equations - 7.6 Exercises: 68

Answer

$135^{o},\ 180^{o},\ 225^{o},\ 270^{o}$

Work Step by Step

If $0 \leq \theta < 360^{o}$ then $0 \displaystyle \leq \frac{\theta}{3} < 120^{o},$ and $\displaystyle \theta=3(\frac{\theta}{3})$ so the corresponding values of $\theta$ are $3(45^{o})=135^{o},$ $3(60^{o})=180^{o},$ $3(75^{o})=225^{o},$ $3(90^{o})=270^{o}.$ $135^{o},\ 180^{o},\ 225^{o},\ 270^{o}$
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