People trust bitcoin because they have heard of a misconception that says bitcoin is a private system.
The private thing is a misconception because Bitcoin is not private by default, but it's a lot more that people "trust" Bitcoin simply due to the fact that you don't actually need to trust anyone. All you need to know that the software works, the fact that no one can confiscate your bitcoin
(unless you're careless, see here[1]), and that the supply inflation is stable and predictable.
[1]
https://cryptosec.info/wrench-attack/