ACOSH Google Sheet Formula

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ACOSH Formula Syntax

=ACOSH(2)

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

InputFormulaResult
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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