If `tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2=` `2sqrt(3)a` (b) `sqrt(3)a` (c) `2sqrt(3)a^2` (d) none of these

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

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

If cos^-1( (x^2-1)/(x^2+1))+ tan^-1( (2x)/(x^2-1)) = (2pi)/3 , then x equal to (A) sqrt(3) (B) 2+sqrt(3) (C) 2-sqrt(3) (D) -sqrt(3)

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(2)

The solution for x of the equation int_(sqrt(2))^(x)(dt)/(sqrt(t^(2)-1))=(pi)/(2) is pi(b)(sqrt(3))/(2) (c) 2sqrt(2) (d) none of these

If 3tan^(-1)(2-sqrt(3))-tan^(-1)(x)=tan^(-1)((1)/(3)) then x=

If sin^(-1)x-cos^(-1)x=pi/6 , then x= 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

If y=|cos x|+|sin x|, then (dy)/(dx)atx=(2 pi)/(3) is (1-sqrt(3))/(2)(b)0(c)(1)/(2)(sqrt(3)-1) (d) none of these

tan x+tan2x+sqrt(3)tan x*tan2x=sqrt(3)

Solve tan x+tan2x+sqrt(3)tan x tan2x=sqrt(3)