Purpose
Get inverse hyperbolic cosine number.
Return value
The inverse hyperbolic cosine of the number.
Syntax
=ACOSH(number)- number - The number to get the inverse hyperbolic cosine of.
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.
Notes
- The function throws a #NUM! Error when given a number less than 1.
Images courtesy of wumbo.net.
Related functions
COSH Function
The Excel COSH function returns the hyperbolic cosine of a number.
ASINH Function
The Excel ASINH function returns the inverse hyperbolic sine of a number.
