# Tan-Sin

Author: daniyar
Problem has been solved: 39 times

Русский язык | English Language

Sides $AB \leq AC \leq BC$ of triangle $ABC$ form an arithmetic sequence. It is also given that $tan\frac{\angle B}{2}=\frac{1}{15}$. The value of $tan\frac{\angle A}{2}+tan\frac{\angle C}{2}$ can be represented as an irreducable fraction $\frac{m}{n}$, for some positive integer $m$ and $n$. Find $m+n$.