Definition and Syntax

The ATANH function is a mathematical function used to calculate the hyperbolic arctangent of a given number. It returns the hyperbolic arctangent value (atanh) for a number.

Syntax in Microsoft Excel and Google Sheets:

=ATANH(number)

• number: The number for which the hyperbolic arctangent is calculated. This value must be between -1 and 1, exclusive.

Example Applications

Next, we will review examples to demonstrate how the ATANH function can be used in two different scenarios.

Example 1: Simple Value Calculation

Question: Calculate the hyperbolic arctangent for the value 0.5.

Solution:

=ATANH(0.5)

When you enter this formula into a cell in Excel or Google Sheets, the result will be approximately 0.5493.

Example 2: Use in Financial Modeling

Question: In a financial model, we are given specific financial ratios between -0.8 and 0.8. We want to calculate the hyperbolic arctangents of these ratios to analyze the distribution of results.

Solution: Suppose these ratios are listed from A2 to A10 in column A. To calculate the hyperbolic arctangent for each ratio, use the following formula in column B:

=ATANH(A2)

Enter this formula in cell B2 and then drag it down to B10. Each cell will calculate the hyperbolic arctangent for the corresponding value in column A.

This analysis helps us visualize the velocity and intensity of changes within the specified range of ratios.

Daha fazla bilgi: https://support.microsoft.com/tr-tr/office/atanh-işlevi-3cd65768-0de7-4f1d-b312-d01c8c930d90