question_answer

The value of \[{{\sin }^{-1}}\frac{1}{\sqrt{2}}+{{\sin }^{-1}}\frac{\sqrt{2}-1}{\sqrt{6}}+{{\sin }^{-1}}\frac{\sqrt{3}-\sqrt{2}}{\sqrt{12}}.....\infty \] is

A)  0                                

B)  1

C)  \[\frac{\pi }{2}\]           

D)  2

E)  None of these