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

Step-by-step 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.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

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