Arctan(X) is the same as inverse tangent(X)...or 1/tan(X)
I doubt they will ask you the arctan(3) b/c it's 71.56...too complicated for the DAT...
Giving the exact question will help.
Example:
What is the arctan(1/radical 3) ?
The tan(30) = 1/radical 3
So the arctan(1/radical 3) = 30
Do this by taking the arctan of both sides...
Arctan(tan(X)) = x --> arctan(tan(30)) = arctan(1/radical 3)
Therefore the arctan(1/radical 3) MUST be 30.
Hope this makes sense, I am super tired.