Respuesta :
[tex]y= \frac{\pi}{4}+\sin{x}[/tex]
We find the inverse function by interhanging x and y, and expressing y in terms of x.
[tex]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})}[/tex]
We find the inverse function by interhanging x and y, and expressing y in terms of x.
[tex]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})}[/tex]
