Answer
$\frac{1}{2}$
Work Step by Step
Using the Double Angle Formula in reverse,
$2sin\theta cos\theta = sin2\theta$
we have
$2sin15^\circ cos15^\circ = sin2(15^\circ)=sin30^\circ=\frac{1}{2}$
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 - Section 5.3 - Double-Angle, Power-Reducing, and Half-Angle Formulas - Exercise Set - Page 680: 15
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