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: 4

Answer

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

Work Step by Step

For a point on the unit circle, the coordinates are ($\cos\theta,\sin\theta)$, $x\in[0^{o},360^{o})$ To solve the problem, find the points for which the $y$-coordinate is $0$, ($\sin\theta$=$0$) Using the given unit circle, we find such points (1,0), $\quad $for $x=0^{o}$ $(-1,0),\ \quad $for $x=180^{o}$ Solution set: $\{0^{o}, \ \ 180^{o}\}$
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