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.
Financial Ratio | Hyperbolic Arctangent |
---|---|
-0.5 | -0.5493 |
0.3 | 0.3095 |
0.8 | 1.0986 |
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