'Confidently' in the Bible

The angel of the LORD did not appear again to Manoah or to his wife, and then Manoah knew confidently that the visitor had been the angel of the LORD.

And the five men go, and come in to Laish, and see the people which is in its midst, dwelling confidently, according to the custom of Zidonians, quiet and confident; and there is none putting to shame in the land in any thing, possessing restraint, and they are far off from the Zidonians, and have no word with any man.