# Basic trigo - VI

Geometry Level 2

Let $$f\left( \theta \right) =\frac { \cot { \theta } }{ 1+\cot { \theta } }$$ and $$\alpha +\beta =\frac { 5\pi }{ 4 }$$. Then the value of $$f\left( \alpha \right) .f\left( \beta \right)$$ can be written as $$\frac { a }{ b }$$ where $$a$$ and $$b$$ are coprime integers. Find $$a+b$$

This question is a part of the set: Basic Trigo

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