reason out vs cogitate

reason out and cogitate both are verbs.

Word	Noun	Adjective	Verb	Adverb
reason out	No	No	Yes	No
cogitate	No	No	Yes	No

As verbs, cogitate is a hypernym of reason out; that is, cogitate is a word with a broader meaning than reason out:

reason out: decide by reasoning; draw or come to a conclusion
cogitate: use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments

Other hypernyms of reason out include cerebrate, think.

reason out (verb)	cogitate (verb)
decide by reasoning; draw or come to a conclusion	use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments
	consider carefully and deeply; reflect upon; turn over in one's mind