Skip to main content

ACOTH function

Inverse hyperbolic cotangent function. ACOTH(x) returns the inverse hyperbolic cotangent of x. x must satisfy |x| > 1 (i.e. x < −1 or x > 1).

The inverse hyperbolic cotangent can be expressed as a natural logarithm:

$$ \operatorname{acoth}(x) = \frac{1}{2}\ln\!\left(\frac{x+1}{x-1}\right) $$

The argument x can be a real number or a matrix. When it is a matrix, the function returns a matrix with the same dimensions and with the ACOTH function applied to all elements.

Examples

ACOTH(2) equals 0.5493061

ACOTH(−2) equals −0.5493061

Calculator

ACOTH 0.549306144334

Graph

ACOTH function

Related functions

  • COTH function: Hyperbolic cotangent function
  • ATANH function: Inverse hyperbolic tangent function
  • ACSCH function: Inverse hyperbolic cosecant function
  • Hyperbolic functions

External links