thanks anandbji.I can understand from your inferences there is not much to distinguish upon. Am I right to some extent? But since these are the words used in most powerful senses at timesin a particular context I am confused at the individuality of each. Another word is "confidance" thanks for inputting.I will attempt this which is my own interpretation. Trust is a feeling of expression between humans like saying I have immense trust in someone. In that sense we don't say we trust god. Rather we have faith in god or faith in the power of rituals and so on. Faith has a more positive connotation to it. So faith can possibly be described as a feeling of positive expression that a human being has on something beyond him or one he has not understood. Belief is somewhat similar to faith but can carry negative connotations as well. Like belief in superstitions or a belief in jihadist ideology. Of course what is faith for me can be termed as belief by someone depending on point of view.
My interpretation is :
If you have Belief in someone , you begin to trust him , and when he becomes trustworthy , you begin to have faith in whatever he says - you consider him to be truthful and see in him a trusted companion , guide and sometimes a form of a GOD man ! ( Controversial issue !)
The other way around - If you have faith in some entity , you trust whatever comes out of the same and believe that it can work out wonders in you -- Analogy similar to
Faith in Fast food joints , trust that burgers and french fries are man-made amirtham and belief that it is good for your belly !