\[\sum _{ n=1 }^{ \infty }{ \frac { \sin { \left( 360n \right) } }{ n } } =\frac { A }{ B } \pi -C\]

If the equation above holds true for positive integers \(A,B\) and \(C\) with \(A,B\) coprime, submit your answer as \(C-B-A\).

**Clarification**: All the angles are measured in radians.

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