Question

y=tan-1(3x-x3 / 1-3x2)

solve in simplest fom ......????

Answer 1

substitute x = tanA => A = tan^-1(x)

now y = tan^-1(3tanA -tan^3(A)/1-3tan^2(A))

y = tan^-1(tan(3A))

y= 3A = 3tan^-1(x)