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Arcsin graph. The graph of y = arcsin (x) is shown below: The domain of y = arcsin (x) is and its range is . One of the properties of inverse functions is that if a point (a, b) is on the graph of f, the point (b, a) is on the graph of its inverse.
Arcsin is the inverse trigonometric function of the sine function. It gives the measure of the angle for the corresponding value of the sine function. Arcsin is defined as arcsin: [-1, 1] → [–π/2, π/2].
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The inverse sine function is sometimes called the arcsine function, and notated \(\arcsin\space x\). \(y={\sin}^{−1}x\) has domain \([−1,1]\) and range \(\left[−\frac{\pi}{2},\frac{\pi}{2}\right]\)
Arcus sinus x jest definiowany jako odwrotna funkcja sinusoidalna x, gdy -1≤x≤1. Kiedy sinus y jest równy x: sin y = x. Wtedy arcus sinus x jest równy odwrotnej funkcji sinusoidalnej x, która jest równa y: arcsin x = sin -1 x = y.
