I have heard it a thousand times..  “You have to trust your coworkers”.

I have never really been comfortable with that statement. I can easily see “You have to trust each other”. That makes a bit more sense. But, I have seen “You have to trust your coworkers” abused a few too many times for me to really buy into it. In fact, about the only time I have ever heard this phrase was after someone had abused the trust placed in them. It places all the burden on the person doing the trusting instead of the one who lost that trust.

“You have to be trustworthy” seems a more reasonable approach.  Hold yourself to a standard, then hold others to a minimal standard. (One problem is that it is very easy to fall into the trap of holding others to higher standards than ourselves.)  If they meet that standard, proceed. I have a bit of a judgmental side, so I have to try to keep that in check. I learned a long time ago that the difference between someone holding people to a standard and just being a jerk was whether the goal posts moved. If they meet the standard, don’t complain about the next level you did not identify. Take the result and move onto the next item on the checklist.