cotangent

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

noun

, Trigonometry.

1. (in a right triangle) the ratio of the side adjacent to a given angle to the side opposite.
2. the tangent of the complement, or the reciprocal of the tangent, of a given angle or arc. : cot, ctn

cotangent

/ ˌkəʊtænˈdʒɛnʃəl; kəʊˈtændʒənt /

noun

1. (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 tangent Abbreviationcotcotanctn

cotangent

/ kō-tăn′jənt /

1. 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.
2. 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.
3. A function of a number x, equal to the cotangent of an angle whose measure in radians is equal to x.

Derived Forms

• cotangential, adjective

Other Words From

• co·tan·gen·tial [koh-tan-, jen, -sh, uh, l], adjective

Word History and Origins

Origin of cotangent¹

First recorded in 1625–35, cotangent is from the New Latin word cotangent- (stem of cotangēns ). See co-, tangent

Example Sentences

Out on the various fronts the American soldiers grimly understood that they must hold on where they were for the sake of their comrades on other distant but nevertheless cotangent fronts on the circular line that guard Archangel.

From Project Gutenberg

The only gleam of intelligence Old Cotangent showed was when he said that squaring the circle was too easy.

From Project Gutenberg