COSH Google Sheet Formula
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COSH Formula Syntax
Example Use Case
Calculating the hyperbolic cosine for exponential or physical modeling
Understanding the COSH Formula
The COSH function in Excel returns the hyperbolic cosine of a number, a function tied to exponential growth and hyperbolic geometry. Unlike COS, it’s not periodic and always returns values ≥ 1, making it key for modeling phenomena like catenary curves or signal amplification.
Input 1, and you get ~1.543, reflecting (e^x + e^-x)/2. It’s used in physics for hanging cables or in economics for certain growth models, offering a unique perspective on exponential relationships.
Why Use COSH?
COSH shines in technical fields needing hyperbolic analysis—think engineering stress tests or statistical distributions. Its exponential basis makes it a natural fit for unbounded growth or decay scenarios, distinct from trigonometric functions.
Example with Sample Data
| Input | Formula | Result |
|---|---|---|
| 1 | =COSH(1) | 1.54308 |
| 0 | =COSH(0) | 1 |
| -2 | =COSH(-2) | 3.76220 |
COSH outputs grow exponentially: 1 gives ~1.543, -2 mirrors positive inputs. It’s a hyperbolic workhorse.
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