Trignometric Horrors II

Geometry Level 3

Let \(\beta\) = \(\displaystyle \sum _{ r=1 }^{ 10 }{ \sum _{ s=1 }^{ 10 }{ \tan^{-1} { \frac { r }{ s } } } } \).

Also \(\beta\) = \( \pi \gamma\).

Then Find \(\gamma\).

Where \(\tan^{-1}(x)\) Denotes Inverse Trignometric Function.

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