Answer
$\frac{1}{2}$
Work Step by Step
We recall the Double-Angle Formula $sin2\theta=2sin\theta cos\theta$ and think it in reverse, we can have
$2sin\frac{\pi}{12}cos\frac{\pi}{12}=sin2(\frac{\pi}{12})=sin\frac{\pi}{6}=\frac{1}{2}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 7 - Review - Exercises - Page 579: 52
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