Find an algebraic expression for \(tan(arcsin(\frac{\sqrt{36-x^2}}{6}))\).

I don't understand why the answer has to be simplified from \(\frac{\sqrt{36-x^2}}{\sqrt{x^2}}\) to \(\frac{\sqrt{36-x^2}}{x}\) since radical x^{2} isn't equal to x when x is negative.

Guest Mar 21, 2019