cosecant

[ koh-see-kuhnt, -kant ]

/ koʊˈsi kənt, -kænt /

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noun Trigonometry.

(in a right triangle) the ratio of the hypotenuse to the side opposite a given angle.

the secant of the complement, or the reciprocal of the sine, of a given angle or arc. Abbreviation: csc

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Also cosec.

Origin of cosecant

First recorded in 1700–10, cosecant is from the New Latin word cosecant- (stem of cosecāns). See co-, secant

Words nearby cosecant

Cosby, Cosby, Bill, coscenarist, cose, cosec, cosecant, cosech, coseismal, Cosell, Cosenza, coset

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

British Dictionary definitions for cosecant

cosecant

/ (kəʊˈsiːkənt) /

noun

(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 sineAbbreviation: cosec

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for cosecant

cosecant

[ kō-sē′kănt′ ]

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.