question_answer

Find the value of \[\frac{\operatorname{tanA}+\operatorname{tanB}}{1-\operatorname{tanA}\,\times \operatorname{tanB}},\] if\[A=60{}^\circ \]and \[B=30{}^\circ \].

A)  \[\infty \]          

B)  \[\sqrt{3}\]

C)  \[\frac{-1}{\sqrt{3}}\]                           

D)  \[\frac{1}{\sqrt{3}}\]

E)  None of these