come out of the closet vs come out

come out of the closet and come out both are verbs.

Word	Noun	Adjective	Verb	Adverb
come out of the closet	No	No	Yes	No
come out	No	No	Yes	No

As verbs, come out of the closet and come out are synonyms defined as:

come out of the closet and come out: to state openly and publicly one's homosexuality

Other synonyms of come out of the closet include out.

come out of the closet (verb)	come out (verb)
to state openly and publicly one's homosexuality	appear or become visible; make a showing
	be issued or published
	break out
	come out of
	take a place in a competition; often followed by an ordinal
	be made known; be disclosed or revealed
	to state openly and publicly one's homosexuality
	bulge outward
	make oneself visible; take action
	drop out
	result or end