Question

Write the equation for the inverse of the function y = pi/4 + sin x.

Answer 1

C

Explanation:

Answer 2

`y= (\pi)/(4)+sin(x)`
We find the inverse function by interhanging x and y, and expressing y in terms of x.

`x= (\pi)/(4)+sin(y) \\sin(y)= x-(\pi)/(4) \\\arcsin{(sin(y))}=\arcsin{(-(\pi)/(4))} \\y=\arcsin{(x-(\pi)/(4))}`