The value of $\sin(\frac{\pi}{7})\sin(\frac{2\pi}{7})\sin(\frac{3\pi}{7})=\frac{\sqrt{p}}{q}$ where $p, q$ are co-primes then $p+q=$
Not able to solve this question as it requires value on the form of $\frac{\sqrt{p}}{q}$
I tried to convert it into $\cos(\frac{\pi}{14})\cos(\frac{3\pi}{14})\cos(\frac{5\pi}{14})$ and see whether by dividing and multiplying by $\sin(\frac{\pi}{14})$ we can achieve the result but unfortunately it is not leading to substantial result.
