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ozzi
2 years ago
12

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

Mathematics
2 answers:
MakcuM [25]2 years ago
7 0

Answer:

<em>  The answer is \sin^{-1}x = y</em>

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

<em>      \sin^{-1}x = y</em>

     This is the required inverse of the function

     The graph of the function and its inverse is symmetric about y = x

<em>     The answer is \sin^{-1}x = y</em>

NemiM [27]2 years ago
6 0

Answer:

y = Arcsin x

Step-by-step explanation:

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The given addition exercise is:

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Therefore, we can fill in the vacant boxes as shown below:

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