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In mathematics, the inverse trigonometric functions (occasionally also called antitrigonometric, [1] cyclometric, [2] or arcus functions [3]) are the inverse functions of the trigonometric functions, under suitably restricted domains.
Here, we will study in detail about the inverse sine function (sin inverse) along with its graph, domain, range, and properties. Also, we will learn the formulas, derivatives, and integral of sin inverse x along with a few solved examples for a better understanding of the concept.
10 paź 2024 · The inverse sine is the multivalued function sin^(-1)z (Zwillinger 1995, p. 465), also denoted arcsinz (Abramowitz and Stegun 1972, p. 79; Harris and Stocker 1998, p. 307; Jeffrey 2000, p. 124), that is the inverse function of the sine.
The inverse sine function sin-1 takes the ratio opposite hypotenuse and gives angle θ. And cosine and tangent follow a similar idea. Example (lengths are only to one decimal place): sin (35°) = Opposite / Hypotenuse. = 2.8/4.9.
2 sty 2021 · The inverse sine function \(y={\sin}^{−1}x\) means \(x=\sin\space y\). 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 \(\left[−\frac{\pi}{2},\frac{\pi}{2}\right]\)
3 lip 2024 · The inverse sine is, as its name suggests, the inverse of the sine function. That is, inverse sine finds the angle that produces a particular value of sine. The common notation of this function is arcsin: arcsin(x) = y if and only if x = sin(y), where x ∈ [-1, 1].
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. We denote the arcsin function for the real number x as arcsin x (read as arcsine x) or sin -1 x (read as sine inverse x) which is the inverse of sin y.
