Question

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

Answer 1

Answer:

 The answer is $\sin^{-1}$x = y

Step-by-step 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

Answer 2

Answer:

y = Arcsin x

Step-by-step explanation: