Inverse trigonometric functions are widely used in engineering, navigation, physics, and geometry. For a circle of radius 1, arcsin and arccos are the lengths of actual arcs determined by the quantities in question. Several notations for the inverse trigonometric functions exist.

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.

What Is the Arcsine? The arcsine is the inverse trigonometric function of the sine within the interval [-π/2, +π/2]. It is commonly represented as arcsin or arcsin. Occasionally, the arcsine is also denoted by sin -1, where the -1 indicates an inverse function, not an exponent. To avoid confusion, using arcsin is generally preferred.

The arcsine of x is defined as the inverse sine function of x when -1≤x≤1. When the sine of y is equal to x: Then the arcsine of x is equal to the inverse sine function of x, which is equal to y: arcsin (x), inverse sine function.

在数学中，反三角函数（antitrigonometric functions），偶尔也称为弓形函数（arcus functions），反向函数（reverse function）或环形函数（cyclometric functions））是 三角函数 的 反函数 （具有适当的限制 域）。 具体来说，它们是正弦，余弦，正切，余切，正割和辅助函数的反函数，并且用于从任何一个角度的三角比获得一个角度。 反三角函数广泛应用于工程，导航，物理和几何。 反正弦函数（反三角函数之一）为正弦函数y=sinx（x∈ [-½π,½π]）的反函数，记 …

Sep 17, 2024 · Arcsine function, commonly written as arcsin (x) or sometimes as sin⁻¹ (x), is the inverse of the sine function. It allows us to determine the angle whose sine is a given value. For example, if the sine of an angle is 0.5, the arcsine of 0.5 will give the angle, which in this case is 30 degrees or π/6 radians.

Definition of the arcsin function in trigonometry. The inverse of the sine function. The angle whose sine is a given number.

Take the inverse arcsine of both sides of the equation to extract x x from inside the arcsine. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

Arcsine, written as arcsin or sin -1 (not to be confused with ), is the inverse sine function. 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.

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