Answer
$\sin{(\frac{\alpha}{2})}=\sqrt{\frac{1-\cos{(\alpha)}}{2}}$.
Work Step by Step
Since the angle is acute, then by the identity: $\sin{(\frac{\alpha}{2})}=\sqrt{\frac{1-\cos{(\alpha)}}{2}}$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 10 - Analytic Geometry - 10.5 Rotation of Axes; General Form of a Conic - 10.5 Assess Your Understanding - Page 678: 3
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