rejoicing vs triumphant

rejoicing is a noun but triumphant is not a noun.

Word	Noun	Adjective	Verb	Adverb
rejoicing	Yes	Yes	No	No
triumphant	No	Yes	No	No

As adjectives, rejoicing and triumphant are synonyms defined as:

rejoicing and triumphant: joyful and proud especially because of triumph or success

Other synonyms of rejoicing include exultant, exulting, jubilant, prideful, triumphal.

rejoicing (noun)	triumphant (noun)
the utterance of sounds expressing great joy
a feeling of great happiness

rejoicing (adjective)	triumphant (adjective)
joyful and proud especially because of triumph or success	joyful and proud especially because of triumph or success
	experiencing triumph