Take hot water on and off.
Cough is not your problem, it is a symptom. Cough happens because of bodies reflex trying to push something out.
1. Take something hot on and off.
2. Pineapple juice.
3. Pepper soup/rasam.
4. Koflet syrup(A product of - Himalayas)
If you have cold with yellow/Green mucus, throat pain. You may need a course of medicine for 3 days which covers antibiotics and antihistamines.
Next Steps
Follow the advices given, if you need a detailed prescription. consult me online.