`tan^(-1)((a+x)/a)+tan^(-1)((a-n)/a)=(pi)/(6)`

tan^(-1)((3)/(n))+tan^(-1)((4)/(n))=(pi)/(2)

tan^(-1)((a)/(x))+tan^(-1)((b)/(x))=(pi)/(2) then x=

Solve the following equation for x:tan^(-1)((1)/(4))+2tan^(-1)((1)/(5))+tan^(-1)((1)/(6))+tan^(-1)((1)/(x))=(pi)/(4)

If tan^(-1).(a+x)/(a) + tan ^(-1) ((a-x)/(a)) = (pi)/(6) then prove that x^(2) = 2sqrt(3)a^(2)

For n in N ,if tan^(-1)((1)/(3))+tan^(-1)((1)/(4))+tan^(-1)((1)/(5))+tan^(-1)((1)/(n))=(pi)/(4) ,then (n-2)/(15) is equal to

tan^(-1)((n)/(n+1))-tan^(-1)(2n+1)=(3 pi)/(4)

tan^(-1)(x/2)+tan^(-1)(x/3)=(pi)/(4)

Evaluate each of the following: tan^(-1)((tan pi)/(3))( ii) tan^(-1)((tan(6 pi))/(7))( iii) tan^(-1)((tan(7 pi))/(6))

If tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(6), then prove that x^(2)=2sqrt(3).

tan^(-1)(tan""(7pi)/(6))