usage: make (someone) agree, understand, or realize the truth or validity of something; "He had finally convinced several customers of the advantages of his product"
usage: persuaded of; very sure; "were convinced that it would be to their advantage to join"; "I am positive he is lying"; "was confident he would win"
2. convinced (vs. unconvinced)
usage: having a strong belief or conviction; "a convinced and fanatical pacifist"