​ Write the follow function in the simplest form: tan^-1((3a^2x - x^3)/(a^3 - 3ax^2)), a > 0; - a/√3 ≤ x ≤ ​a/√3

Question

Write the follow function in the simplest form:

tan^-1(\(\frac{3a^2x - x^3}{a^3 - 3ax^2}\)), a > 0; \(\frac{-a}{\sqrt3}\) ≤ x ≤ \(\frac{a}{\sqrt 3}\)

Answer 1

⇒ 3tan^-1(\(\frac{x}{a}\))