Daily DAX : Day 434 ACOSH

Power BI DAX Function: ACOSH

The ACOSH function in Data Analysis Expressions (DAX) is a mathematical function used in Power BI, Analysis Services, and Power Pivot.

Description

The ACOSH function returns the inverse hyperbolic cosine (also known as hyperbolic arccosine) of a number. Mathematically, it computes the value whose hyperbolic cosine is the given number.

Key property: ACOSH(COSH(number)) = number

Syntax

ACOSH(number)

Parameters

Parameter Description
number A real number greater than or equal to 1. If the number is less than 1, the function returns an error.

Return Value

A decimal number representing the inverse hyperbolic cosine in radians.

Examples

Expression Result
ACOSH(1) 0
ACOSH(10) Approximately 2.993222
ACOSH(COSH(4)) 4

Use Cases

ACOSH is a specialized function primarily used in advanced mathematical, scientific, engineering, or financial modeling where hyperbolic functions are required. Common scenarios include:

  • Solving equations involving hyperbolic trigonometry (e.g., in physics for catenary curves or special relativity).
  • Advanced statistical distributions or transformations.
  • Engineering calculations, such as in signal processing or fluid dynamics.
  • Financial models involving continuous compounding or certain option pricing formulas.

In typical business intelligence reports in Power BI (e.g., sales, finance dashboards), ACOSH is rarely used compared to basic math functions like SUM or AVERAGE.


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