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Latin word cognosco comes from Latin nosco, Latin con-
nosco (Latin)
I know, recognize, am acquainted with, i.e.; in possession of knowledge.
con- (Latin)
Used in compounds to indicate a being or bringing together of several objects. Used in compounds to indicate the completeness, perfecting of any act, and thus gives intensity to the signification of the simple word.
cognosco (Latin)
(in perfect tense) I know. I learn, I am acquainted (with), I recognize.