Answer
$-\frac{\sqrt 2}{2}$
Work Step by Step
$r=\sqrt {(-3)^{2}+(-3)^{2}}=3\sqrt 2$
$\sin\theta=\frac{y}{r}=\frac{-3}{3\sqrt 2}=-\frac{1}{\sqrt 2}=-\frac{\sqrt 2}{2}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 5 - Trigonometric Functions - 5.2 Trigonometric Functions - 5.2 Exercises - Page 518: 2
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