triumphant vs rejoicing

triumphant is not a noun while rejoicing is a noun.

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

As adjectives, triumphant and rejoicing are synonyms defined as:

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

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

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

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