to persuade (a person or thing) to do something by using kindness, encouragement etc

persuade

to make a person feel certain, cause a person to realize

gain the confidence of

to encourage, cause (an effect)

encourage, provoke

to persuade or influence (a person); to cause, bring, about (something)

cause to happen; encourage

to make (a person) feel certain about, believe something

cause to believe; convince to do