WordReference Random House Unabridged Dictionary of American English © 2016
versed sine, [Trig.]
  1. Mathematicsone minus the cosine of a given angle or arc. Abbr.: vers. Also called versine, versin. 

Collins Concise English Dictionary © HarperCollins Publishers::

versed sine n
  1. a trigonometric function equal to one minus the cosine of the specified angle
Etymology: 16th Century: from New Latin sinus versus, from sine1 + versus turned, from vertere to turn

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