ATANH

The ATANH function in Google Sheets returns the inverse hyperbolic tangent of a number, a value between -1 and 1 exclusive. It's used in advanced mathematical, statistical, and engineering calculations involving hyperbolic functions. Dive into our comprehensive guide to master its application.

Parameters

• value: A number between -1 and 1, exclusive, for which to calculate the inverse hyperbolic tangent.

Step-by-Step Tutorial

1. Using ATANH with a decimal value:

   • Example: =ATANH(0.5)
   • Result: 0.549306...

2. Using ATANH with a negative value:

   • Example: =ATANH(-0.5)
   • Result: -0.549306...

Use Cases and Scenarios

1. Statistical Modeling: Apply Fisher's z-transformation-related calculations that rely on hyperbolic tangent relationships.
2. Engineering Analysis: Solve equations in signal processing and electrical engineering involving hyperbolic functions.
3. Advanced Mathematics: Perform calculations in fields such as special relativity and hyperbolic geometry.

Related Functions

• TANH: Returns the hyperbolic tangent of a number.
• ATAN: Returns the inverse tangent of a value, in radians.
• COSH: Returns the hyperbolic cosine of a number.

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