question_answer

\[\int_{0}^{\pi /2}{\log \tan \,x\,\,dx}=\]

A)  \[\frac{\pi }{2}\,\,{{\log }_{e}}2\]                     

B)  \[\frac{-\pi }{2}\,\,{{\log }_{e}}2\]

C)  \[\pi {{\log }_{e}}2\]                

D)  0

E)  None of these