Had a chesty cough for a few weeks now, was prescribed antibiotics however my cough has seemed to have gotten worse?

Chronic Cough. It is very likely that you are having chronic cough. Cough greater than 6 weeks in duration is termed chronic cough. Post infectious cough is a commonly diagnosed condition. Treatment of cough is often an empirical method. Treatments are geared towards multiple causes in a step wise fashion. Sometimes anticholinergic inhalers work in post infectious cough. Please talk to your doctor.