Final answer:
An inverse function is a function that reverses the process of another function. In mathematics, the inverse function of a function f undoes the operation of f. For trigonometric functions like sine (sin) and arcsine (arcsin), the inverse function of sin is arcsin.
Step-by-step explanation:
An inverse function is a function that reverses the process of another function. In mathematics, the inverse function of a function f undoes the operation of f. For example, if we have a function f(x), then the inverse function of f is denoted as f^(-1)(x) or sometimes as x = f^(-1)(y).
When dealing with trigonometric functions like sine (sin) and arcsine (arcsin), the inverse function of sin is arcsin. If you apply the arcsin function on the output of the sine function, you would obtain the original input value. This is true for any two functions that are inverse to each other.
For example, if sin(x) = y, then arcsin(y) = x.