arcsine

The inverse of the sine function, usually abbreviated arcsin. It is defined on the restricted domain \([-1,1]\), such that for any real number \(x \in [-1,1]\), \(\arcsin(x)=a\) if and only if \(\sin(a)=x\). The principal arcsine takes its values in the interval \(\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\).

Arcsine may also be abbreviated by asin or sin-1.

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