He is a man to trust. vs. He is a man to be trusted.
These may not be the best sentences to discuss your query.
A native speaker would say either, He is the man to trust. (for this particular job)
He is a man you can trust
This has the same meaning as
He is a man to be trusted. ( in general, whatever the situation, now and in the future, a trustworthy man)
Let's keep going because I doubt that this really gets to the heart of your uncertainty.