$\text{tanh} (x + k\pi i) = \text{tanh}\ x$ $\text{coth} (x + k\pi i) =\text{coth} x$ Relationship between inverse hyperbolic and inverse trigonometric functions

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle …

在双曲函数中，coth为双曲余切。 在数学中，双曲余切是由基础双曲函数双曲正弦和双曲余弦推导而来。 双曲余切函数是双曲正切函数的倒数。

Illustrated definition of Coth: The Hyperbolic Cotangent Function. coth (x) (esupxsup esupminusxsup) (esupxsup minus...

coth (x) = cosh (x) sinh (x) = ex + e-x ex − e-x. sech (x) = 1 cosh (x) = 2 ex + e-x. csch (x) = 1 sinh (x) = 2 ex − e-x. Why the Word "Hyperbolic" ? Because it comes from measurements made on …

Coth is a mathematical function that is used in various areas of mathematics, including calculus, trigonometry, and algebra. It is the hyperbolic cotangent function, which is defined as the ratio …

Coth is the hyperbolic cotangent function, which is the hyperbolic analogue of the Cot circular function used throughout trigonometry. Coth [ α ] is defined as the ratio of the corresponding …

2021年2月6日 · The coth function is a hyperbolic function. It is also known as the hyperbolic cotangent function. Here is a video that explains the cosech, sech, and coth functions: The …

coth (z) = i cot (iz)

Definition 4.11.1 The hyperbolic cosine is the function coshx = ex + e − x 2, and the hyperbolic sine is the function sinhx = ex − e − x 2. . Notice that cosh is even (that is, cosh(− x) = cosh(x)) …