cough up vs cough out

cough up and cough out both are verbs.

Word	Noun	Adjective	Verb	Adverb
cough up	No	No	Yes	No
cough out	No	No	Yes	No

As verbs, cough up and cough out are synonyms defined as:

cough up and cough out: discharge (phlegm or sputum) from the lungs and out of the mouth

Other synonyms of cough up include expectorate, spit out, spit up.

cough up (verb)	cough out (verb)
discharge (phlegm or sputum) from the lungs and out of the mouth	discharge (phlegm or sputum) from the lungs and out of the mouth
give reluctantly