Answer
$-\frac{\sqrt 2}{2}$
Work Step by Step
Recall that $\sin(180^{\circ}+x)=-\sin x$
Then, $\sin 225^{\circ}=\sin (180^{\circ}+45^{\circ})=-\sin 45^{\circ}=-\frac{\sqrt 2}{2}$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 3 - Test - Page 172: 8
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