Better than that, projecting faked confidence results in you developing real confidence.

Additionally, people tend to revert to doing what is expected of them if not consciously trying to change their behaviour - if people expect you to behave confidently, you will tend to act more confident as a result.

Both true. I think I've read research that acting confident increases your confidence. Unfortunately I can't find it handy, but I thought it was very counterintuitive.