Definition, Meaning & Synonyms

coth

Mathematical function

/kɒθ/

Definition

The hyperbolic cotangent function, a mathematical concept used in calculus and trigonometric calculations.

Examples

The function coth(x) is used in various applications of hyperbolic equations.
In calculus, it can be applied to solve integrals involving hyperbolic functions.
Simple computation of coth(0.5) gives approximately 1.0807.

Meaning

Coth is defined as the ratio of the hyperbolic cosine to the hyperbolic sine, commonly represented as coth(x) = cosh(x)/sinh(x). It is used primarily in advanced mathematics, particularly within the field of calculus and engineering.