TBHm I trust people rather easily. Too easily likely, but so far in most cases it turned out to be ok. I'm not entirely sure, but I do think it's related to how I also like people rather easily - though it is not always necessary for me to like people in order to trust them, respect works as well.
Let me explain this. Trusting people basically means to give them something, be it physical (like keys, money, car, and so on) or not (information, passcodes, etc), and expect them to treat it in a certain way (keep it safe, return it later, keep ti for themselves, whatever). This is harder the more you suffer (in whatever way) from them not treating it the way that was agreed on.
As an example: it's rather easy to entrust people with my email address - because the worst that could happen if they treat that information incorrectly is that I get spam.
However it is a lot harder to entrust someone with the key to my apartment - because in this case, the worst case scanario includes all my stuff being stolen and my apartment being trashed or on fire, along with all consequences.
Basically trust is nothing more than risk evaluation.
So - if I trust somebody or not always depends on what I entrust them with. In a love relationship we usually wish for all involved parties (be it two or more people) to trust each other with basically anything, however in practice that varies a lot from relationship to relatoionship I assume.
In reality, people are not perfect, and treating everything the way somebody wants us to is hard at times, especially if interests of different parties conflict with each other. So the better we get to know a person, the more we lear what we CAN trust them with - and what we CANNOT. This is true for all kinds of relationships, love relationships included. So likely, over time, people will not trust their partners with certain things they know they will likely fail with - even if we assume perfekt trust in the beginning (which I do not actually believe in).
FOR ME, as an individual, I therefore need to be somewhat sure of one tihng before I trust somebody: the person in quesiton does not have any reason to use whatever I entrust them with against me.
If I assume a person I like likes me back and is interested in this mutual feeling to continue, this is a good position for trust. Betraying my trust would endanger me liking them, so they try and avoid that.
A person being a professional at whatever I trust them with works as well - even if I do not like that person I, assuming I believe in their professionalism, am convinced they will not purposefully treat whatever I entrust them with wrong, because that wourld hurt their reputation as a professional.
And, last but not least, a person sharing my beliefs is also likely to be trustworthy, because not betrying anybodys trust is part of that belief system I have.
In the end, this means: I trust people I like (usually I like them because they seem to like me...), people that I like working with, and people that I dislike but respect anyway for their professionalism. If however a person does not seem to like me, does not seem to share the same belief of honor and respect I have AND does not seems to be a profesional either, then I will not trust this person with anything.