📊 Excel Function Spotlight: ACOSH – Inverse Hyperbolic Cosine Explained

ACOSH is a powerful tool in Excel for advanced math. It's great for hyperbolic functions in fields like engineering and physics. It's also useful in data modeling.

🔍 What is ACOSH?

ACOSH(number) finds the inverse hyperbolic cosine of a number.

Mathematically,

⚠️ Important:

• The input must be greater than or equal to 1.
• If you try to use a value less than 1, Excel will return a #NUM! error.

📘 Syntax

=ACOSH(number)

• number: The value for which you want the inverse hyperbolic cosine.

✅ Examples

Example 1: Simple ACOSH Calculation

A	B
Input	Formula
1.5	=ACOSH(A2)
2.718	=ACOSH(A3)
10	=ACOSH(A4)

Results:

• ACOSH(1.5) ≈ 0.9624
• ACOSH(2.718) ≈ 1.5676
• ACOSH(10) ≈ 2.9932

Example 2: Invalid Input

Try using:

=ACOSH(0.9)

This will return: #NUM! — because 0.9 is less than 1.

🧠 Use Cases

• Electrical Engineering: In calculations involving hyperbolic angles.
• Mathematical Modeling: When inverse hyperbolic functions are required.
• Financial Forecasting Models: Occasionally appears in advanced models.

💻 VBA Demonstration

Let’s create a small VBA macro. It will calculate ACOSH for a range of cells. Then, it will output the results to the adjacent column.

📌 Step-by-Step VBA Code

Sub CalculateACOSH()
    Dim rng As Range
    Dim cell As Range
    
    ' Prompt user to select the range of input numbers
    On Error Resume Next
    Set rng = Application.InputBox("Select the range of input numbers (must be >= 1):", Type:=8)
    On Error GoTo 0
    
    If rng Is Nothing Then
        MsgBox "No range selected. Exiting..."
        Exit Sub
    End If
    
    ' Loop through each cell and calculate ACOSH
    For Each cell In rng
        If IsNumeric(cell.Value) And cell.Value >= 1 Then
            cell.Offset(0, 1).Value = WorksheetFunction.Acosh(cell.Value)
        Else
            cell.Offset(0, 1).Value = "Invalid Input"
        End If
    Next cell
    
    MsgBox "ACOSH calculations completed!"
End Sub

🔄 How to Use:

1. Press ALT + F11 to open the VBA Editor.
2. Insert a new module: Insert > Module.
3. Paste the above code.
4. Close the editor.
5. Press ALT + F8, select CalculateACOSH, and click Run.
6. Select a column range with numbers ≥ 1.

The results will be written in the adjacent column.

🧩 Bonus Tip: Create a Custom ACOSH Function in VBA

Want to make it even simpler? Create your own Excel formula:

 

Function MyACOSH(x As Double) As Variant
    If x < 1 Then
        MyACOSH = CVErr(xlErrNum)
    Else
        MyACOSH = WorksheetFunction.Acosh(x)
    End If
End Function

Now you can use =MyACOSH(A1) just like any native Excel function!

🧾 Summary

Feature	Detail
Function Name	ACOSH
Input Range	Numbers ≥ 1
Returns	Inverse hyperbolic cosine
VBA Support	Yes
Errors	#NUM! if number < 1

Whether you're brushing up on math or automating data models, the ACOSH function is a solid addition to your Excel toolkit. Combine it with VBA, and you’ve got some serious analytical firepower. 🔥

Got questions or want more advanced examples? Drop them in the comments!