The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent functions. Their reciprocals are respectively the cosecant, the secant, and the …

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.

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).

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'.

The cotangent is a trigonometric function, defined as the ratio of the length of the side adjacent to the angle to the length of the opposite side, in a right-angled triangle.

Nov 14, 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. …

Nov 14, 2025 · Discover everything you need to know about tangent and cotangent functions in this concise guide. Learn definitions and properties.

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 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.

In trigonometry, the law of cotangents is a relationship among the lengths of the sides of a triangle and the cotangents of the halves of the three angles. [1][2]