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# cosecant

[ koh-**see**-k*uh*nt, -kant ]

## 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. : csc

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 sine cosec

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.*

## Discover More

## Word History and Origins

Origin of cosecant^{1}

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