Question

Write the equation for the inverse of the function.
y = sin x
​

Answer 1

y = Arcsin x

Explanation:

Answer 2

The answer is
`\sin^(-1)`x = y

Explanation:

We need to find the inverse of the function

y = sinx

Taking
`\sin^(-1)` on both sides

`\sin^(-1)`y =
`\sin^(-1)`sinx

`\sin^(-1)`y = x

Substituting x to y and y to x

`\sin^(-1)`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
`\sin^(-1)`x = y