Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used. Each of these six trigonometric functions has a corresponding inverse function and has an …

Nov 14, 2025 · cotangent, one of the six trigonometric functions, which, in a right triangle ABC, for an angle A, is cot A = length of side adjacent to angle A/ length of side opposite angle A.

In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side. In a formula, it is abbreviated to just 'cot'.

Dec 3, 2025 · The cotangent is implemented in the Wolfram Language as Cot [z]. The notations ctnz (Erdélyi et al. 1981, p. 7; Jeffrey 2000, p. 111) and ctgz (Gradshteyn and Ryzhik 2000, p. xxix) are …

Nov 26, 2025 · Discover everything you need to know about tangent and cotangent functions in this concise guide. Learn definitions and properties.

The cotangent function is defined and investigation of the graph of the general cotangent function and its properties such as range, period and asymptotes are also presented.

The cotangent of an angle in a right triangle is defined as the ratio of the adjacent side (the side adjacent to the angle) to the opposite side (the side opposite to the angle).

Since the cotangent is a periodic function with a period of π, it can be studied within the interval (0, π). In this interval, the cotangent is a continuous, monotonic, and decreasing function.

The cotangent of a sum can be represented by the rule: "the cotangent of a sum is equal to the product of the cotangents minus one divided by a sum of the cotangents."