Related Function:

The ACOTH function returns the inverse hyperbolic cotangent of a number.

  • This function was introduced in Excel 2013 and so is not available in earlier versions.

Syntax

=ACOTH(number)

Arguments

Argument Description
number The value that you want to calculate the hyperbolic arccotangent of – must be less than -1 or greater than +1, i.e. the absolute value of number must be greater than 1

Examples

  A B C
1 Formula Result Notes
2 =ACOTH(6) 0.168 Returns the hyperbolic arccotangent of 6
3 =ACOTH( -5 ) -0.2027 10:33:32

Common Function Error(s)

Problem What went wrong
#VALUE! Occurs if the supplied number argument is not a numeric value
#NUM! Occurs if the supplied number argument is between -1 and +1 (inclusive), i.e, the absolute value of number is ≤ 1

The hyperbolic arccotangent is the inverse of the hyperbolic cotangent. The equation used to calculate the hyperbolic arccotangent is:   

    \[    acoth(N) = \frac{1}2 ln \left( \frac{x+1}{x-1} \right)    \]

See Wikipedia for more information on Inverse Hyperbolic Functions.