What did "complete confidence" mean in a situation like this?

But because the matter is political my husband refuses to take me into his complete confidence.

I have full and complete confidence in the other 11 guys on this team.

You approach a movie like he did, with complete confidence.

Not one of us is someone she has complete confidence in.

For the moment I'm a doctor, one you can talk to in complete confidence.

The first thing I picked up was, indeed, her complete confidence.

If you're worried about the future, I can tell you this with complete confidence.

Anything you tell us will be treated in complete confidence.

You can walk around the night market, for example, with complete confidence.