if `Agt0,Bgt0 and A+B= pi/3,` then the maximum value of `tanA*tanB` is

If A > 0, B > 0, and A + B = pi/3 then the maximum value of tan A tan B is

If A >0,B >0a n dA+B=pi/3, the maximum value of tanAtanB is______

If ab=2a+3b, agt0, b gt0 , then the minimum value of ab is

In triangle ABC, prove that the maximum value of tanA/2tanB/2tanC/2i s R/(2s)

In triangle ABC, prove that the maximum value of tanA/2tanB/2tanC/2i s R/(2s)

If a,bgt0 then the maximum value of (a^(3)b)/((a+b)^(4)), is

In an acute angled triangle ABC , the minimum value of tanA tanB tanC is

If lim_(xto0) [1+xln(1+b^(2))]^(1//x)=2bsin^(2)theta,bgt0," and "thetain(-pi,pi], then the value of theta is

Let a,bgt0 and alpha=(hati)/(a)+(4hatj)/(b)+bhatk and beta=bhati+ahattj+(1)/(b)hatk , then the maximum value of (10)/(5+alpha*beta) is

If sin A=sqrt3/2 and cos B = sqrt3/2 , find the value of : (tanA-tanB)/(1+tanAtanB)