Write the following functions in the simplest form :
`tan^(-1)((3a^2x - x^3)/(a^3- 3ax^2)), a gt 0, -a/sqrt3 le x le a/sqrt3`

Explanation

`tan^(-1) ((3a^2 x - x^3)/(a^3- 3ax^2)) = tan^(-1)((3a^2 tan theta - a^3 tan^3 theta)/(a^3 - 3a^3 tan^2 theta)) 9x = a tan theta)`
`= tan^(-1)((3 tan theta - tan^3 theta)/(1- 3 tan^2 theta)) = tan^(-1)tan3 theta = 3 theta = 3tan^(-1)(x/a)`