arcsine

The inverse function to the sine.

If y is the sine of theta, then theta is the arcsine of y.

arcsin(z) is equal to i × ln(√(1 − z²) − z × i) since sin(φ) = -i × sinh(i × φ).

The arcsine is real for -1 ≤ x ≤ 1 only. Values are then between -π/2 and +π/2.
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