I have been coughing up mucus for almost one year. Got worse in Nov. And was given antibiotic, but it did not stop the coughing. It is only in the m?

Chronic cough. Consider postnasal drip and gastroesophageal reflux disease, however, patients with chronic cough (more than 2-3 months) require further evaluation starting with detailed history (cough pattern, associated symptoms, smoking history, etc), physical exam and very likely a chest x-ray. If postnasal drip the most likely diagnosis then an anti-histamine might help.