# Incredible Tangential Sum

Geometry Level 4

Amazingly, the value of $$\tan\bigg(\displaystyle\sum_{n=1}^{10} \tan^{-1}(n)\bigg)$$ can be written in the form $$\frac{a}{b}$$ where $$a$$ and $$b$$ are coprime integers. What is $$a+b$$?

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