Suppose we have many expressions involving irrational ArcTan expressions (such as
ArcTan[Sqrt,5]) along with other irrational factors (such as
I want to simplify all of these ArcTans. For example, I might want to apply
N@ to them to get their decimal approximation, or, I might want to apply
Rationalize as in
N@ArcTan[Sqrt, 5] (* out: 1.23732 *) Rationalize[ArcTan[Sqrt, 5]/Pi, .0001] Pi (* out: 13 Pi/33 *)
However, I would like to be able to implement either of these options throughout large expressions involving many ArcTan functions and not act on any other forms.
Simple example would be:
m = 1/Sqrt+ Sqrt ArcTan[Sqrt, 5]
How can I apply a rule or something to m that will allow me to implement one of these types of solutions to the ArcTan but not act on the other irrational factors?