More fun in 2015, Part 21

Geometry Level 4

Find \[\prod_{k=0}^{2014}2\sin\left(\frac{\pi}{186}+\frac{k\pi}{2015}\right)\]

Bonus question: More generally, what is \(\displaystyle\prod_{k=0}^{n-1}2\sin\left(a+\frac{k\pi}{n}\right)\)?

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