Geometry
# Trigonometric Functions

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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 $\frac{1}{\sin x}.$