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 720: 5


$\{ \ 270^{o}\ \}$

Work Step by Step

For a point on the unit circle, the coordinates are ($\cos\theta,\sin\theta)$, $\theta\in[0^{o},360^{o})$ To solve the problem, find the points for which the $y$-coordinate is $-1$, ($\sin\theta=-1$) Using the given unit circle, we find $(0,-1),\ \quad $for $x=270^{o}$ Solution set: $\{ \ 270^{o}\ \}$
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