come out vs divulge

come out and divulge both are verbs.

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

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

come out: to state openly and publicly one's homosexuality
divulge: 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, discover, expose, give away, let on, let out, reveal, uncover, unwrap.

come out (verb)	divulge (verb)
appear or become visible; make a showing	make known to the public information that was previously known only to a few people or that was meant to be kept a secret
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