Google Sheets ATANH Function: Syntax, Examples & Tips

The ATANH function calculates the inverse hyperbolic tangent of a number, returning the angle whose hyperbolic tangent is that number.
Google Sheets
ATANH(value)

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On this page
  1. Parameters
  2. What is ATANH?
  3. A Practical Example
  4. ATANH Formula
  5. Result of the Formula
  6. Why Use ATANH?
  7. Key Takeaways:
  8. Example use case

Parameters

value: The numeric value for which you want to calculate the inverse hyperbolic tangent. This value must be between -1 and 1 (exclusive).

What is ATANH?

The ATANH function in Google Sheets is a mathematical function that calculates the inverse hyperbolic tangent of a given number. This function is particularly useful in various fields such as engineering, physics, and statistics, where hyperbolic functions are commonly used. The ATANH function returns the angle whose hyperbolic tangent is the specified number.

In simpler terms, ATANH helps you find the angle in radians for a given hyperbolic tangent value.

A Practical Example

Imagine you are working on a project that involves calculating the hyperbolic angles for various values. You have a list of hyperbolic tangent values, and you want to find their corresponding angles.

Hyperbolic Tangent Values Table:

Value
0.5
0.8
0.9

ATANH Formula

To achieve this, you would use the ATANH function as follows:

Google Sheets
=ATANH(A2)

In this formula:

  • A2 is the cell containing the hyperbolic tangent value for which you want to find the angle.

Result of the Formula

When you apply the ATANH formula to the Hyperbolic Tangent Values Table, the output would look like this:

ValueATANH Result
0.50.463648
0.81.098612
0.92.197225

In this case, the ATANH function calculates the angles in radians for the given hyperbolic tangent values.

Why Use ATANH?

ATANH is beneficial because it allows for the conversion of hyperbolic tangent values into angles, which can be crucial for various calculations in mathematics and engineering. This function simplifies the process of working with hyperbolic functions and provides a straightforward way to obtain the necessary angles.

Key Takeaways:

  • ATANH: A mathematical function that calculates the inverse hyperbolic tangent of a number.
  • Applications: Useful in fields such as engineering, physics, and statistics.
  • Simplicity: Provides an easy way to convert hyperbolic tangent values into angles.
  • Common Use Cases: Ideal for calculations involving hyperbolic functions and angle conversions.

ATANH is an essential function for anyone working with mathematical calculations in Google Sheets, providing a powerful way to enhance data analysis and reporting capabilities.

Happy spreadsheeting!

Example use case

You have a dataset of correlation coefficients in Column A. To analyze the strength of relationships, you can use the ATANH formula in Column B to convert these coefficients into Fisher's Z scores, enabling more accurate statistical comparisons.

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