Respuesta :
Answer:
The answer is [tex]\sin^{-1}[/tex]x = y
Step-by-step explanation:
We need to find the inverse of the function
y = sinx
Taking [tex]\sin^{-1}[/tex] on both sides
[tex]\sin^{-1}[/tex]y = [tex]\sin^{-1}[/tex]sinx
[tex]\sin^{-1}[/tex]y = x
Substituting x to y and y to x
[tex]\sin^{-1}[/tex]x = y
This is the required inverse of the function
The graph of the function and its inverse is symmetric about y = x
The answer is [tex]\sin^{-1}[/tex]x = y
