Answer
$-\frac{\sqrt 2}{2}$
Work Step by Step
Step 1. Write $225^\circ=180^\circ+45^\circ=\pi+\frac{\pi}{4}$
Step 2. Using the Addition Formula, we have $sin(225^\circ)=sin(\pi)cos(\frac{\pi}{4})+cos(\pi)sin(\frac{\pi}{4})=-\frac{\sqrt 2}{2}$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 5 - Cumulative Review Exercises - Page 709: 13
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