# AGP really?

Geometry Level 4

$\large{f( x ) =\sin( x ) +\dfrac { 1 }{ 3 } \sin ( 3x )+\dfrac { 1 }{ { 3 }^{ 2 } } \sin( 5x )+\ldots }$

Define $$f(x)$$ as of above such that $$f\left( \dfrac { \pi }{ 3 } \right) =\dfrac { A\sqrt { B } }{ C }$$ where $$A,C$$ are co prime integers and $$B$$ is square free.

Evaluate the value of $$A+B+C$$ as your answer.

×