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: 28

Answer

$\{0^{o}, 45^{o},225^{o}\}$

Work Step by Step

Using the zero product principle, either 1. $\quad \tan\theta-1=0\quad$or 2. $\quad \cos\theta-1=0$ $1.\quad\tan\theta=1$ $\theta=45^{o}\quad$or $\theta=45^{o}+180^{o}=225^{o}$ $2.\quad\cos\theta=1$ $\theta=0^{o}$ Solution set = $\{0^{o}, 45^{o},225^{o}\}$
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