# Trigonometry! #62

Geometry Level 3

Find the value of $\tan \left( 2\tan^{-1} \left(\frac {1}{5} \right) - \frac {\pi}{4} \right)$

Express your answer in the form of $$-\frac {a}{b}$$ where $$a$$ and $$b$$ are positive coprime integers, and enter the value of $$a+b$$.

This problem is part of the set Trigonometry.

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