yes i agree with diver58 , u had a risk and get testing yourself is only the way to know your status and test at this stage will nice ..4th generation test will give your answer
and next time use condoms ,
Dry cough alone is not a valid indication of HIV acute infection, having said that, sometime people do not experience any visible symptom but they are infected. So, symptom do not mean much.
You have exposed yourself to HIV risk through unprotected sex with someone of unknown HIV status, therefore instead of focusing at meaningless symptoms, go and get yourself tested NOW. A 4th generation HIV Duo (Ag/Ab) test would rule out everything, collect your test report and move on with your life