Curious Series

Calculus Level 5

k=1sin(k)k\large \sum_{k=1}^{\infty}\frac{\sin(k^\circ)}{k}

If the value of the series above is of the form aπb\dfrac{a\pi}{b}, where aa and bb are coprime positive integers, find the value of a+ba+b.

×

Problem Loading...

Note Loading...

Set Loading...