If x satisfies the inequality `(tan^-1x)^2+3(tan^-1x)-4gt0` , then the complete set of values of x is

Solve the inequality (tan^(-1)x)^(2)-4tan^(-1)x+3>0 for x.

If x in(0,(pi)/(2)) satisfies the inequality [tan x-sqrt(3)|+|4sin^(2)x-3|+|tan(tan^(-1)x)-(pi)/(3)]<=0 then the value of tan(cot^(-1)((sqrt(2))/(30x)cos((3x)/(4)))]*[ Note : [.] denotes greatest integer function.]

If all values of x in (a, b) satisfy the inequality tan x tan 3x lt -1, x in (0, (pi)/(2)) , then the maximum value of (b-a) is :

Q The value of x satisfying the inequality [tan^(-1)x]^(2)-2[tan^(-1)x]-3<=0 where [.] represents greatest integer function,then x varepsilon

If all values of x in (a, b) satisfy the inequality tan x tan 3x lt -1, x in (0, (pi)/(2)) , then the maximum value (b, -a) is :

If all values of x in (a, b) satisfy the inequality tan x tan 3x lt -1, x in (0, (pi)/(2)) , then the maximum value (b, -a) is :

The inequality x^(2)-3x gt tan^(-1) x is ture in

The inequality x^(2)-3x gt tan^(-1) x is ture in

Let |{:(tan^(-1)x, tan^(-1)2x, tan^(-1)3x), (tan^(-1)3x, tan^(-1)x, tan^(-1)2x), (tan^(-1)2x, tan^(-1)3x, tan^(-1)x):}|=0 , then the number of values of x satisfying the equation is