Question

Write the equation for the inverse of the function: y=sinx

a. y=arctanx

b. y=arcsinx

c. y=-sinx

d. y=pisinx


Please select the best answer from the choices provided

Answer 1

b. y=arcsinx

Explanation:

Given the function y = sinx

The equation of its inverse can be gotten by first taking the arcsin of both sides as shown

arcsiny = arcsin(sinx)

The arcsin will cancel out the sin function at the right hand side to have;

arcsiny = x

x = arcsiny

Replacing the variable 'y' with x and 'x' in y in the resulting equation we have;

y = arcsinx

This gives the required inverse.