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# cotangent

[ koh-tan-juhnt, koh-tan- ]

/ koʊˈtæn dʒənt, ˈkoʊˌtæn- /

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noun Trigonometry.

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

the tangent of the complement, or the reciprocal of the tangent, of a given angle or arc. Abbreviation: cot, ctn

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Also co·tan [koh-tan]. /ˈkoʊˌtæn/.

## Origin of cotangent

## OTHER WORDS FROM cotangent

co·tan·gen·tial [koh-tan-jen-shuhl], /ˌkoʊ tænˈdʒɛn ʃəl/, adjective## Words nearby cotangent

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022

## British Dictionary definitions for cotangent

cotangent

/ (kəʊˈtændʒənt) /

noun

(of an angle) a trigonometric function that in a right-angled triangle is the ratio of the length of the adjacent side to that of the opposite side; the reciprocal of tangentAbbreviation: cot, cotan, ctn

## Derived forms of cotangent

cotangential (ˌkəʊtænˈdʒɛnʃəl), adjectiveCollins 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 cotangent

cotangent

[ kō-tăn′jənt ]

The ratio of the length of the adjacent side of an acute angle in a right triangle to the length of the opposite side. The cotangent is the inverse of the tangent.

The ratio of the ordinate to the abscissa 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 cotangent of an angle whose measure in radians is equal to x.

The American Heritage® Science Dictionary
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