verb
BAD : We all tried to convince her to sing.
GOOD : We all tried to persuade her to sing.
◆◆◆
convince = make someone feel completely certain that something is true: 'Somehow the party will have to convince the voters that it is capable of governing the country.' 'She failed to convince the jury of her innocence.'
persuade = make someone agree to do something (or believe that something is true): 'Her parents have persuaded her to stop seeing him.' 'Despite our efforts to persuade them, they still haven't signed the contract.'