question_answer

If \[f(x)=ta{{n}^{-1}}g\left( x \right)\](where \[g\left( x \right)\] is monotonically increasing for \[0<\times <\pi /2\], then f(x) is

A)  Increasing in \[\left( 0,\frac{\pi }{2} \right)\]

B)  Decreasing in \[\left( 0,\frac{\pi }{2} \right)\]

C)  Increasing in \[\left( 0,\pi  \right)\]

D)  Decreasing in \[\left( \frac{\pi }{4},\frac{\pi }{2} \right)\]