Вычислите 2sin 5π/12 cos 5π/12.

\[2\sin\frac{5\pi}{12} \cdot \cos\frac{5\pi}{12} = \sin\left( 2 \cdot \frac{5\pi}{12} \right) =\]

\[= \sin\frac{5\pi}{6} = \frac{1}{2}\]