Why do I have insane pain in my throat and unbearable pain in my chest when I cough?

Inflammation. you probably have a viral if not a bacterial infection. Ibuprofen may help with the inflammation and pain. Some people like tea with honey or lemon. Cough drops can help. With a virus it takes 2-3 days to clear. bacterial can take longer and you may need antibiotics. If not getting better in 3 days see an MD.