Convince (verb)

1. To cause (someone) to believe firmly in the truth or existence of something.
2. To persuade (someone) to do something or to believe in something.
3. To prove to be true or certain.

Origin:

From middle english convinse, from latin convincere ("to overcome, vanquish, prove, persuade"), from con- ("with") + vincere ("to conquer").

Examples:

1. He convinced me that he was right.
2. She convinced her parents to let her go to the concert.
3. I had to convince him that I was serious about quitting my job.
4. The evidence convinced the jury of his guilt.
5. He tried to convince me to invest my money in his business.