Let \(m\) and \(n\) be odd integers. Determine \[ \sum_{k=1}^\infty \frac{1}{k^2}\tan\frac{k\pi}{m}\tan \frac{k\pi}{n}.\]

The best solution was submitted by Suh, Gee Won (서기원), 수리과학과 2009학번. Congratulations!

Here is his Solution of Problem 2012-17.

One incorrect solution was received (PHM).