If A gt 0, B gt 0 and A+B=(pi)/(3), then...

If `A gt 0, B gt 0` and `A+B=(pi)/(3)`, then the maximum value of `tan A tan B` is

A

`1/2`

B

`1/3`

C

`1/4`

D

`1/4`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If A gt 0 , B gt 0 and A+B = (pi)/(6) , then the minimum value of tan A+ tan B is

If Agt0,Bgt0,andA+B=(pi)/(3) , then the maximum value of tan A tan B is

If y=tan^(-1)""1/2+tan^(-1)b, (0 lt b lt 1) and 0 lt y le pi/4 , then the maximum value of b is

In triangle ABC, tan A + tan B + tan C = 6 and tanA tanB = 2, then the values of tan A, tan B, tan C are, respectively:

If a gt b , maximum value of a sin ^2x + b cos ^2 x is

If A ge 0, B ge 0, A + B = (pi)/(3) and y = tan A. tan B then

If A, B, C are in A.P and and B=(pi)/(4) then tan A tan B tan C =

If A-B=(3pi)/(4) , that show that (1- tan A) (1+tan B)=2