ACOSH Google Sheet Formula
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ACOSH Formula Syntax
Example Use Case
Finding the inverse hyperbolic cosine for exponential or logarithmic analysis
Understanding the ACOSH Formula
The ACOSH function in Excel returns the inverse hyperbolic cosine of a number, a value tied to hyperbolic geometry and exponential relationships. It requires an input of 1 or greater, producing a non-negative result. This makes it useful in fields like physics or engineering, where hyperbolic functions model growth or spatial curves.
Think of analyzing a cable’s sag under tension: ACOSH can help derive key parameters. It’s the counterpart to COSH, reversing the process to find the original value from a hyperbolic cosine, often seen in advanced mathematical contexts.
Why Use ACOSH?
ACOSH excels in technical modeling, such as calculating distances in hyperbolic spaces or solving exponential equations. Its specificity—requiring inputs ≥ 1—ensures precision in niche applications, from signal processing to structural analysis.
Example with Sample Data
Input | Formula | Result |
---|---|---|
2 | =ACOSH(2) | 1.31696 |
1 | =ACOSH(1) | 0 |
5 | =ACOSH(5) | 2.29243 |
The table demonstrates ACOSH: 2 yields ~1.317, while 1 returns 0. Inputs below 1 would error out, highlighting its defined range.
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