Summary

The Excel COTH function returns the cotangent of an angle.

Purpose
Get the hyperbolic cotangent of an angle
Return value
The hyperbolic cotangent
Syntax
=COTH(number)
  • number - The hyperbolic angle.
Microsoft docs
COTH function documentation

Using the COTH function

The Excel COTH function returns the hyperbolic cotangent of a hyperbolic angle. Given 1.00 as input, the function returns 1.313035285 as output.

=COTH(1) // returns 1.313035285

Explanation

The hyperbolic cotangent is the reciprocal of the TANH function.

=1/TANH(x) // equivalent to COTH(x)

The plot below shows the COTH function's output in Excel.

Hyperbolic cotangent plot.

Notes:

  • Returns a #DIV/0! error when given zero as input.

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Dave Bruns

Hi - I'm Dave Bruns, and I run Exceljet with my wife, Lisa. Our goal is to help you work faster in Excel. We create short videos, and clear examples of formulas, functions, pivot tables, conditional formatting, and charts.