Question

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

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

$y= \frac{\pi}{4}+\sin{x}$
We find the inverse function by interhanging x and y, and expressing y in terms of x.
$x= \frac{\pi}{4}+\sin{y} \\\sin{y}= x-\frac{\pi}{4} \\\arcsin{(\sin{y})}=\arcsin{(-\frac{\pi}{4})} \\y=\arcsin{(x-\frac{\pi}{4})}$