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Tutorial on finding domain, range and graphing arcsin functions; examples with detailed solutions.

The arcsin function helps us find the measure of an angle corresponding to the sine function value. We can also find the measure of an angle in a triangle using the arcsin formula derived …

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Oct 29, 2025 · Learn how to draw and interpret the arcsin graph. Understand its shape, domain, and range, and explore how the arcsin function relates to sine and inverse trig.

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. This effectively means that the graph of the inverse function is …

Remember, the graph of y = arcsin x is a reflection of the graph of y = sin x in the line y = x when y = sin x is restricted to the interval π 2 ≤ y ≤ π 2.

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: …

It is possible to form inverse functions at many different locations along the graph. The functions shown here are what are referred to as the "principal" functions.

Jul 23, 2025 · 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 …