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#Trigonometry

ACOSH

Excel Functions

Get inverse hyperbolic cosine number.

Syntax

EXCEL
=ACOSH(number)

Arguments

Parameter Description
number The number to get the inverse hyperbolic cosine of.

Return Value

The inverse hyperbolic cosine of the number.

Details

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

Examples

Example 1

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

EXCEL
=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

EXCEL
=ACOSH(1.543080634) // returns 1

See Also

COSH ASINH