Unfortunately, it's not in degrees

Geometry Level 5

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

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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