Question

What is the equation for the inverse of the function =arcsin⁡y=arcsin(x)?

A) y=3sin(x)
B) y=3sin(x)
C) y=31sin(x)
D) y=sin(3x)

Answer 1

The equation for the inverse of the function y = arcsin(x) is y = sin(x).

Step-by-step explanation:

The equation for the inverse of the function y = arcsin(x) can be obtained by interchanging the x and y variables and solving for y.

First, let's interchange the variables:

x = arcsin(y)

Next, solve for y:

y = sin(x)

Therefore, the equation for the inverse of the given function is y = sin(x).