Using gentle persuasion without causing offence or being too aggressive. She coaxed her friend out of cancelling the trip by highlighting the fun aspects.
Pro Tip 2/3
Not Always Direct
The persuasion can be done indirectly, by making suggestions rather than commands. He coaxed her out of her shell by sharing his own stories first.
Pro Tip 3/3
Task Difficulty
It may imply that the action being encouraged is difficult for the person to do. The coach coaxed the player out of retirement, demonstrating his importance to the team.