SOH-CAH-TOA! Have you heard the call of the trig function? Use them to navigate the trickier sides (and angles) of geometric shapes.

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Let \(m\) and \(M\) be the minimum and maximum values of the domain of \(f(x) = \sin^{-1}(x^2 - 360)\), respectively. What is the value of \(M - m\)?

**Details and assumptions**

\(\sin^{-1} x\) denotes the functional inverse of \(\sin x\) not the reciprocal \(\frac{1}{\sin x}.\)

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