History Because it is kind of guiding you and helps to eliminate some diagnosis because sometimes you might get lots from your physical exams but they are not the cause of the consulting ... Eg. Diabetes and hypertension may influence a lot...
History because it help in further investigation in wright direction.
As a prehospital practitioner, I usually do them simultaneously.
History which help in developing repo with pt and also you will have some idea about disease and by that information you can focus on that perticular examination to conform