# Find the Inverse Function y=arctan(x)

Interchange the variables.
Solve for .
Rewrite the equation as .
Take the inverse arctangent of both sides of the equation to extract from inside the arctangent.
Remove parentheses.
Solve for and replace with .
Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
The functions tangent and arctangent are inverses.
Since , is the inverse of .
Find the Inverse Function y=arctan(x)