ATANH Google Sheet Formula
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ATANH Formula Syntax
Example Use Case
Finding the inverse hyperbolic tangent for logarithmic or statistical analysis
Understanding the ATANH Formula
The ATANH function in Excel calculates the inverse hyperbolic tangent of a number, returning a value tied to hyperbolic math. It requires inputs between -1 and 1 (exclusive), reflecting the tanh function’s range. This makes it useful in statistics, physics, or economics for modeling bounded exponential behaviors.
Imagine analyzing signal distortion or growth rates: ATANH reverses a hyperbolic tangent to uncover original values. It’s a specialized tool, bridging logarithmic and hyperbolic domains for precise technical work.
Why Use ATANH?
ATANH is tailored for hyperbolic transformations, excelling in applications like probability distributions or wave analysis. Its restricted input range ensures accuracy in specific, advanced calculations, setting it apart for expert use.
Example with Sample Data
| Input | Formula | Result |
|---|---|---|
| 0.5 | =ATANH(0.5) | 0.54931 |
| 0 | =ATANH(0) | 0 |
| -0.8 | =ATANH(-0.8) | -1.09861 |
ATANH processes bounded inputs: 0.5 yields ~0.549, -0.8 gives a negative result. It’s a niche but powerful hyperbolic tool.
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