to give someone responsibility for something important
доверить кому-то ответственность за что-то важное (doverit komu-to otvetstvennost za shto-to vazhnoe)
"I trust you to take care of the project."
"Я доверяю тебе позаботиться о проекте." (ya doveryayu tebe pozabotitsya o proekte)
learning by experimenting and correcting mistakes
a secret agreement made by powerful people
extremely tired and almost falling asleep
to frighten someone very much
proven effective through experience or hardship
to wait for something to improve or happen