ACOTH Function in Excel: Inverse Hyperbolic Cotangent

ACOTH Function in Excel: Inverse Hyperbolic Cotangent 1
⏱ 1 min readUpdated 12 October 2026

Maths & trigLevel: ExpertAvailable in: Excel 2013+

In this article
  1. Syntax
  2. Examples
  3. Example 1
  4. ACOTH in practice
  5. Where you will use it
  6. Worked example
  7. Mistakes people make
  8. Related functions

ACOTH returns the inverse hyperbolic cotangent (|x| > 1).

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Syntax

=ACOTH(number)
Argument What it means
number Value (angles in radians)

Examples

Example 1

=ROUND(ACOTH(A2),5)

Result: 0.54931. See the worked example table below for more cases.

ACOTH in practice

Where you will use it

  • Engineering and physics formulas
  • Catenary cables, hyperbolic growth models
  • Coursework

Worked example

xFormulaResult
2=ROUND(ACOTH(A2),5)0.54931
5=ROUND(ACOTH(A3),5)0.20273
-3=ROUND(ACOTH(A4),5)-0.34657

Results calculated in Excel.

Mistakes people make

MistakeWhat to do instead
Degrees instead of radiansWrap in RADIANS for angles
Out-of-range input#NUM! or #DIV/0!

SIN · COS · TAN

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