question_answer

            The value of \[\mathbf{cot 5{}^\circ }\mathbf{.cot 15{}^\circ }\mathbf{.cot}\text{ }\mathbf{25{}^\circ }\mathbf{.cot 35{}^\circ }\mathbf{.cot45}{}^\circ \]\[\mathbf{.cot 55{}^\circ }\mathbf{.cot}\mathbf{.65{}^\circ }\mathbf{.cot 75{}^\circ }\mathbf{.cot 85{}^\circ }\]is _____.

A)  \[\sqrt{3}\]                                                       

B)  \[\frac{1}{\sqrt{3}}\]

C)  1        

D)  \[2\sqrt{3}\]

E)  None of these