Product Of Sines

Geometry Level 4

\[\large\sin\dfrac{\pi}{7}\sin\dfrac{2\pi}{7}\sin\dfrac{3\pi}{7}\sin\dfrac{\pi}{14}\sin\dfrac{3\pi}{14}\sin\dfrac{5\pi}{14}\]

If the value of the above product can be written in the form of \(\dfrac{\sqrt {a}}{b}\), where \( a\) and \(b\) are coprime positive integers, find \(a+b\).

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