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How to find the graph of y=arcsin(x)
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The arcsin function or `sin^-1` is the inverse to the sine function. Since only there can only be one value of y for each value of x for it to be a function, arcsin can only be defined in an interval.
Plot values of x, sin x and `sin^-1x` or asin x
x y= sin x asin y
0 0 0
`pi/4` `1/sqrt2` `pi/4`
`pi/2` 1 `pi/2`
`3pi/4` `1/sqrt2` Thus this point is undefined for arcsin because it would have the same value.
`-pi/2` `-1` `-pi/2`
The inverse function of y=sinx is y=arcsinx, thus the plot values are
x y= arcsin x
Posted by flbyrne on October 22, 2013 at 3:50 AM (Answer #1)
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