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Geometry Level 4

\[ \sin { \frac { \pi }{ 7 } } \sin { \frac { 2\pi }{ 7 } } \sin { \frac { 3\pi }{ 7 } } \sin { \frac { 4\pi }{ 7 } } \sin { \frac { 5\pi }{ 7 } } \sin { \frac { 6\pi }{ 7 } } \]

If the value of the expression above is equal to \( \dfrac AB\), where \(A\) and \(B\) are coprime positive integers, find \(A+B\).

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