cosecant[kō sē′kənt, -kant′]
- the ratio of the hypotenuse to the opposite side of a given acute angle in a right triangle
- an equivalent, positive or negative ratio for certain related angles (Ex.: the cosecant of 57° or 123° is 1.1923, of 237° or 303° is −1.1923) or real numbers representing radians (Ex.: the cosecant of .9948 radians (57°) is 1.1923)
Origin: French cosécante, for co. secans, short for Modern Latin complementi secans, literally , secant of the complement
Used by arrangement with John Wiley & Sons, Inc.
noun Abbr. csc
- The reciprocal of the sine of an angle in a right triangle.
- The secant of the complement of a directed angle or arc.
csc Θ= c/a
cosecant - Science Definition
- The ratio of the length of the hypotenuse in a right triangle to the length of the side opposite an acute angle. The cosecant is the inverse of the sine.
- The reciprocal of the ordinate of the endpoint of an arc of a unit circle centered at the origin of a Cartesian coordinate system, the arc being of length x and measured counterclockwise from the point (1, 0) if x is positive or clockwise if x is negative.
- A function of a number x, equal to the cosecant of an angle whose measure in radians is equal to x.
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