'Confessing' in the Bible

And Daniel, when he hath known that the writing is signed, hath gone up to his house, and the window being opened for him, in his upper chamber, over-against Jerusalem, three times in a day he is kneeling on his knees, and praying, and confessing before his God, because that he was doing it before this.

I prayed to the LORD my God, confessing and saying:

And whiles I was speaking, and praying, and confessing my sin and the sin of my people Israel, and presenting my supplication before the LORD my God for the holy mountain of my God;