# Inspired by Sandeep Bhardwaj problem

Geometry Level 4

$\large f(x) = \dfrac{\sin(x) + \sin(3x) + \sin(5x) + \ldots + \sin(40103x)}{\cos(x) + \cos(3x) + \cos(5x) + \ldots + \cos(40103x)}$

Fundamental period of $$f(x)$$ can be represented as $$\dfrac{a\pi}{b}$$, where $$a, b$$ are coprime numbers. Find $$a + b$$.

Inspiration

×