What is the value of cot-? [2 cos(sin -? 1/2 )]

Solution :

Assuming the question as :

$\mathrm{What} \mathrm{is} \mathrm{the} \mathrm{value} \mathrm{of} {\cot }^{-1}\left[2 \cos \left\{{\sin }^{-1}\left(\frac{1}{2}\right)\right\}\right] ?$
Here is the answer.