believe vs trust

believe is not a noun while trust is a noun.

Word	Noun	Adjective	Verb	Adverb
believe	No	No	Yes	No
trust	Yes	No	Yes	No

As verbs, trust is a hyponym of believe; that is, trust is a word with a more specific, narrower meaning than believe:

Other hyponyms of believe include infer, understand, swallow, buy, believe, believe in.

As verbs, believe and trust are synonyms defined as:

believe (noun)	trust (noun)
	the trait of believing in the honesty and reliability of others
	certainty based on past experience
	complete confidence in a person or plan etc
	a consortium of independent organizations formed to limit competition by controlling the production and distribution of a product or service
	something (as property) held by one party (the trustee) for the benefit of another (the beneficiary)
	a trustful relationship

believe (verb)	trust (verb)
accept as true; take to be true	have confidence or faith in
follow a credo; have a faith; be a believer	be confident about something
credit with veracity	expect and wish
be confident about something	confer a trust upon
judge or regard; look upon; judge	(chiefly archaic) extend credit to
	allow without fear