T for Trigo

Geometry Level 3

\[ \sin \dfrac{\pi}7\sin \dfrac{2\pi}7\sin \dfrac{3\pi}7 \]

If the value of the expression above is in the form of \( \dfrac{\sqrt A}B \), where \(A\) and \(B\) are coprime positive integers, find \(A+B\).

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