Question

Write the equation for the inverse of the function y=pi/4+sinx

Answer 1

Answer:

C.

Step-by-step explanation:

correct on edg

Answer 2

Answer:

Step-by-step explanation:

Sine doesn't have an inverse, until you restrict the domain to -pi/2 to pi/2. If you don't restrict the domain, then the inverse doesn't exist. Im going to assume the domain is restricted.

Switch the x and y values

$x= \pi/4+ \sin(y)$

Subtract pi/4 on both sides

$x- \pi/4= \sin(y)$

Take the arcsine of both sides

$\arcsin(x- \pi/4)=y$