Welcome to HCM!
I have read your question carefully and it seems that you had bronchitis
four months back, treated with antibiotics 10 days and inhalers for a month, you had pain in chest but it cleared two mths back. now you have cough
and bad taste when you exhale.
What is important here is that do you have expectoration ( yellow or other color) with cough or just dry cough?
. However, your symptoms of having bad taste while exhaling point towards some persisting , low grade infection/ pent up secretions. they should be cleared as they may lead to recurrent infection of respiratory tract
Had I been at your place, I would start steam inhalation, do gargals, both four to five times a day, maintain hydration by taking lots of water. Apart from these measures, you would go and see a doctor, he may ask an X Ray
chest and blood counts, sugar levels done.
If there are signs of remaining infection in chest, he may give you another course of antibiotics.
There is nothing much to worry about, but it should be treated to remain well!
Hope the reply helps you
Feel free to ask more questions
Dr. Manisha Gopal