# Functions here and there

Geometry Level 5

Solve for $$x$$,

$\sin\left[2\cos^{-1}\left\{\cot\left(2\tan^{-1}x\right)\right\}\right]=0$

If $$x$$ has $$n$$ solutions, all of which can be represented in surd form, $x_i = a_i+\sqrt{b_i}$

$\large \text{Evaluate }\left\{n + \sum\limits_{i=1}^n \left({\left|a_i\right| + \left|\sqrt{b_i}\right|}\right)\right\}$

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