How would you graph the inverse of y=arccos(x/3) or can you
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How would you graph the inverse of y=arccos(x/3) or can you

[From: ] [author: ] [Date: 12-01-09] [Hit: ]
-To get the equation of an inverse of a function,x = arccos(y/3) To get rid of arccos,......
i don't know if its just undefined or if it's possible please explain

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Why would y = arccos(x/3) be undefined?

Anyways, if you solve y = arccos(x/3) for x, you get:
cos(y) = x/3, by taking the cosine of both sides
==> x = 3cos(y).

However, the range of arccos(x/3) is [0, π], so y can only be on [0, π].

If you can graph the cosine function, just graph x = 3cos(y) on the interval [0, π]; the resulting graph will be the graph for y = arccos(x/3).

I hope this helps!

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To get the equation of an inverse of a function, plug x in for y and y in for x and solve for y

x = arccos(y/3) To get rid of arccos, we need to take cos

cos (x) = cos (arccos (y/3)) This cancels out the arccos so what's left is

cos (x) = y/3

y = 3 cos (x)
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