How to convert a tangent value into degrees or radians?

Question

I got a hipotetical tangent, let's say 1,37. I want to convert this value to degrees or radians, using a calculator this is simple and the result is 54°, but I need a formula to use in a script that I'm developing. Any ideas how to do it?

Answer 1

you are using the function y= Arctan x with -infinity<x<+infinity and

-pi/2<y<pi/2

You are not converting the tangent value into degrees or radians but finding the angle corresponding to that value which is a pure real number

Answer 2

If you are given a tangent and want to compute the angle, you would use the arctan function.  Be sure the mode matches whether you want the answer in degrees or radians.

For example:

arctan(1.37) [in degrees] = 53.8733 degrees.  Round up to 54°