come out vs discover

come out and discover both are verbs.

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

As verbs, discover is a hypernym of come out; that is, discover is a word with a broader meaning than come out:

come out: to state openly and publicly one's homosexuality
discover: make known to the public information that was previously known only to a few people or that was meant to be kept a secret

Other hypernyms of come out include break, bring out, disclose, divulge, expose, give away, let on, let out, reveal, uncover, unwrap.

come out (verb)	discover (verb)
appear or become visible; make a showing	get to know or become aware of, usually accidentally
be issued or published	identify as in botany or biology, for example
break out	make known to the public information that was previously known only to a few people or that was meant to be kept a secret
come out of	make a discovery, make a new finding
take a place in a competition; often followed by an ordinal	see for the first time; make a discovery
be made known; be disclosed or revealed	discover or determine the existence, presence, or fact of by perception with the eyes
to state openly and publicly one's homosexuality	find unexpectedly
bulge outward
make oneself visible; take action
drop out
result or end