Expectorate – cough or spit out phlegm from the throat or lungs
"Expect the rate (expectorate) at which you cough and spit to reduce" said the doctor who gave him the medicine.
Examples of expectorate in a sentence
The expectorate didn't seem to ease despite the medicine the doctor prescribed her.
She was disgusted to see the man expectorate all over the buffet, with no attempt to cover his mouth.
He was prescribed medicine to help him expectorate the phlegm from his lungs and improve his breathing.