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

Mathematics

2 answers:

MakcuM [25]3 years ago

7 0

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

NemiM [27]3 years ago

6 0

Answer:

y = Arcsin x

Step-by-step explanation:

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