If \({\sin ^{ - 1}}\,x + {\cot ^{ - 1}}\left( {\frac{1}{2}} \right) = \frac{\pi }{2}\) then x is

1
0
2
\(\frac{1}{{\sqrt 5 }}\)
3
\(\frac{2}{{\sqrt 5 }}\)
4
\(\frac{{\sqrt 3 }}{2}\)

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