" 12."x tan^(-1)x

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

The total number of ordered pairs of (x,y) satisfying the equation 13+12[tan^(-1)x]=24[In x]+8[e^(x)]+6[cos^(-1)y] is/are:

Solve for x , tan^(-1) ( x + 1) + tan^(-1) x + tan^(-1) ( x - 1) = tan ^(-1) 3

Solve tan^(-1)(x-1) +tan^(-1) x +tan^(-1)(x+1)= tan^(-1)(3x) .

Solve for x, tan^(-1)(x-1)+tan^(-1)x +tan^(-1)(x+1) =tan^(-1)3x .

Prove that tan (2 tan^(-1) x ) = 2 tan (tan^(-1) x + tan^(-1) x^(3)) .

Prove that tan (2 tan^(-1) x ) = 2 tan (tan^(-1) x + tan^(-1) x^(3)) .

Prove that : 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x