triumphant vs exulting

triumphant and exulting both are adjectives.

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

As adjectives, triumphant and exulting are synonyms defined as:

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

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

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