# Trigonometry! 37

Geometry Level 4

If $$I$$ is the in centre of $$\Delta ABC$$ and $$AD$$ is the angle bisector of $$\angle BAC$$ so that $$\frac {AI}{ID}=2$$, then find the value of $$\cot \frac {B}{2} \cot \frac {C}{2}$$.

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