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cosecant

[koh-see-kuh nt, -kant] /koʊˈsi kənt, -kænt/
noun, Trigonometry
1.
(in a right triangle) the ratio of the hypotenuse to the side opposite a given angle.
2.
the secant of the complement, or the reciprocal of the sine, of a given angle or arc.
Abbreviation: csc.
Also, cosec.
Origin
1700-1710
1700-10; < Neo-Latin cosecant- (stem of cosecāns). See co-, secant
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for cosecant

cosecant

/kəʊˈsiːkənt/
noun
1.
(of an angle) a trigonometric function that in a right-angled triangle is the ratio of the length of the hypotenuse to that of the opposite side; the reciprocal of sine cosec
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin and History for cosecant
n.

1706, from co, short for complement, + secant.

Online Etymology Dictionary, © 2010 Douglas Harper
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cosecant in Science
cosecant
  (kō-sē'kānt')   
  1. 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.

  2. 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.

  3. A function of a number x, equal to the cosecant of an angle whose measure in radians is equal to x.


The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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