Summary

The Excel ACOSH function returns the inverse hyperbolic cosine of a number.

Purpose 

Get inverse hyperbolic cosine number.

Return value 

The inverse hyperbolic cosine of the number.

Syntax

=ACOSH(number)
  • number - The inverse hyperbolic cosine of a number.

How to use 

The Excel ACOSH function returns the inverse hyperbolic cosine of a number. Given the input 2.0, the function returns the value 1.316957897.

=ACOSH(2) // returns 1.316957897

Explanation

Given the x-component of a point that lies on the right branch of the unit hyperbola given by the equation x² - y² = 1, the ACOSH function returns the hyperbolic angle formed by the point.

=ACOSH(1.543080634) // returns 1

In other words, the ACOSH function returns twice the area of the sector formed between the origin, the x-axis, and the point on the hyperbola.

ACOSH returns twice the area of the sector.

Notes

  • The function throws a #NUM! Error when given a number less than 1. 

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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.