# Sine Product

Geometry Level 4

$\large\sin\left(\dfrac{\pi}{34}\right)\sin\left(\dfrac{9\pi}{34}\right)\sin\left(\dfrac{13\pi}{34}\right)\sin\left(\dfrac{15\pi}{34}\right)$

If the value of the expression above can be represented by $$\dfrac{p}q$$, where $$p$$ and $$q$$ are coprime positive integers, compute $$p+q$$.

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