come forth vs come out

come forth and come out both are verbs.

Word	Noun	Adjective	Verb	Adverb
come forth	No	No	Yes	No
come out	No	No	Yes	No

As verbs, come forth and come out are synonyms defined as:

Other synonyms of come forth include egress, emerge, go forth, issue.

As verbs, come out is a hyponym of come forth; that is, come out is a word with a more specific, narrower meaning than come forth:

Other hyponyms of come forth include pop out, radiate, leak, escape, fall, debouch, fall out.

come forth (verb)	come out (verb)
come out of	appear or become visible; make a showing
happen or occur as a result of something	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