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 - Page 721: 36

Answer

$\{0^{o}, 90^{o}, 180^{o},270^{o}\}$

Work Step by Step

... zero factor principle ... 1. $\quad\sin^{2}\theta=0$ or 2.$\quad \cos^{2}\theta=0$ 1. $\quad\sin\theta=0\Rightarrow\theta=0^{o}, 180^{o}$ 2.$\quad \cos\theta=0\Rightarrow\theta=90^{o}, 270^{o}$ Solution set = $\{0^{o}, 90^{o}, 180^{o},270^{o}\}$
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