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Draw the graph of y=sin^(-1)(sin x)...

Draw the graph of `y=sin^(-1)(sin x)`

Text Solution

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`y = sin^(-1) (sin x)`
`rArr" "sin y = sin x`
`rArr" "y=npi+(-1)^(n)x, n in Z`
Now `y in [-pi//2, pi//2] ` so we have the following table for values for values of x and y.

From the above informations, we can plot the graph of `y=sin^(-1)(sin x)` as shown in the following figure.
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