'Confessing' in the Bible

Let thine ear now be attentive, and thine eyes open, to hear the prayer of thy servant, which I pray before thee at this time, day and night, for the children of Israel thy servants, confessing the sins of the children of Israel, which we have sinned against thee: both I and my father's house have sinned.

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