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 …

Jan 2, 2026 · 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 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."

Dec 4, 2025 · The cotangent function f (x) = cot (x) assigns to each angle x, expressed in radians, its corresponding cotangent value. Its graph is a periodic curve with a period of π and features vertical …

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.

Tangent is the ratio of sine and cosine. Thus, its reciprocal is the ratio of cosine to sine. It is called cotangent. (θ): all of the half- π π ’s. (θ): all of the whole- π π ’s. This means intercepts at the half- π …

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.

Dec 22, 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 …