If \(\frac{{{{\cot }^2}{\rm{x}}}}{{\left( {1 + \sqrt 3 } \right)}} + \frac{1}{2}\left( {3 - \sqrt 3 } \right) = \cot {\rm{x}}\), then what is the value of x?

\({\rm{\pi }},\frac{{\rm{\pi }}}{4}\)

\(\frac{{\rm{\pi }}}{2},\frac{{\rm{\pi }}}{4}\)

\(\frac{{\rm{\pi }}}{6},\frac{{\rm{\pi }}}{2}\)

\(\frac{{\rm{\pi }}}{6},\frac{{\rm{\pi }}}{4}\)

If \(\frac{{{{\cot }^2}{\rm{x}}}}{{\left( {1 + \sqrt 3 } \right)}} + \

1.	If \(\frac{{{{\cot }^2}{\rm{x}}}}{{\left( {1 + \sqrt 3 } \right)}} + \frac{1}{2}\left( {3 - \sqrt 3 } \right) = \cot {\rm{x}}\), then what is the value of x?
A.	\(\frac{{\rm{\pi }}}{2},\frac{{\rm{\pi }}}{4}\)
B.	\(\frac{{\rm{\pi }}}{6},\frac{{\rm{\pi }}}{2}\)
C.	\(\frac{{\rm{\pi }}}{6},\frac{{\rm{\pi }}}{4}\)
D.	\({\rm{\pi }},\frac{{\rm{\pi }}}{4}\)
Answer» D. \({\rm{\pi }},\frac{{\rm{\pi }}}{4}\)