COTH Function in Excel: Hyperbolic Cotangent

COTH Function in Excel: Hyperbolic Cotangent 1
⏱ 1 min readUpdated 5 October 2026

Maths & trigLevel: ExpertAvailable in: Excel 2013+

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

COTH returns 1/TANH(x).

Advertisement

Syntax

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

Examples

Example 1

=ROUND(COTH(A2),5)

Result: 1.31304. See the worked example table below for more cases.

COTH in practice

Where you will use it

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

Worked example

xFormulaResult
1=ROUND(COTH(A2),5)1.31304
2=ROUND(COTH(A3),5)1.03731
0.5=ROUND(COTH(A4),5)2.16395

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

📚 Part of the free Excel course: Beginner → Expert · Try it in the Formula Lab or ask the AI Helper.

Keep reading

Excel Functions A–ZXLOOKUP Function in Excel: The Modern Lookup That Replaces VLOOKUPExcel Functions A–ZDELTA Function in Excel: Are Two Numbers Equal?Excel Functions A–ZREPT Function in Excel: Repeat Text (In-Cell Bar Charts)
Advertisement
✨ Ask AI about this article

Stuck on a step? Ask a question and the AI answers using this article.

Free · AI can be wrong