convinced

(verb) make (someone) agree, understand, or realize the truth or validity of something. Synonyms: convert, win over, convince. Example: "He had finally convinced several customers of the advantages of his product."

(adj) persuaded of; very sure. Synonyms: convinced(predicate), positive(predicate), confident(predicate). Examples: "Were convinced that it would be to their advantage to join." "I am positive he is lying." "Was confident he would win."

(adj) having a strong belief or conviction. Synonyms: convinced (vs. unconvinced). Example: "A convinced and fanatical pacifist."