What is the difference between trust and faith? Are they related? Does one lead to the other? Simply, faith can be defined as "belief that is not based on proof". Trust can be called "confident expectation based on proven results, a hope".
So having faith is a submission to an authority not based on track record or likelihoods, but on the sheer identity of the intity or the role in which they hold. It is an act of will power a decision, an option you exercise in submission.

Trust is usually a sound choice based on probabilities. It is usually because of this I will trust or in some cased despite this (hope), I will trust.

Now having said all of that, does trust lead to faith or faith to trust? With the Lord, I believe faith leads to trust because your decision to believe in His will shall be proven and God develops a reputations with us as faithful to deliver, provide, give, love.
Trust can never come before a measure of faith with God. Even if your faith is based on the moving you experience from merely reading the Word of God. A faith is activated in you and grows. I believe it grows through trusting in Him and stretching your faith in "un-proven" areas where He can prove Himself yet again.

With people however, a faith grows out of trust. I don't know if this is the right way to do it, but it is how I see it done. A baby small measure of faith, given by God, that he will be fed leads it to not worry about such issues. However, it quickly learns that mommy will bring the food if I cry and every time I do it. It has worked over and over and he trusts that it will always work.

These sureties lend to a submission to authority based on reliable past experiences. In other words...You are only as good as your name. Joe the Carpenter, John the Shepard, James the farmer. This is what they do and essentially who they are. Are you Karen the lifer? or Mike the thief? Are you June the trouble maker? Or Sarah the gossip?
You might be able to sing or sew or dance or even preach, but if what you are known by is something other than a fruit of the spirit, then you do not carry the name of God.

What is your name?
~