SECH Google Sheet Formula
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SECH Formula Syntax
Example Use Case
Calculating the hyperbolic secant for exponential modeling
Understanding the SECH Formula
The SECH function in Excel computes the hyperbolic secant of a number, defined as 1/cosh. It’s a hyperbolic function, useful in fields like physics or statistics for modeling exponential decay or probability distributions.
SECH(0) returns 1, since cosh(0) = 1. It accepts any real number, always yielding positive values ≤ 1, making it a specialized tool for hyperbolic relationships—less common but potent in technical contexts.
Why Use SECH?
SECH aids hyperbolic analysis—think catenary curves or statistical smoothing. Its reciprocal link to COSH offers a unique perspective for exponential problems, complementing standard trig functions.
Example with Sample Data
| Input | Formula | Result |
|---|---|---|
| 0 | =SECH(0) | 1 |
| 1 | =SECH(1) | 0.64805 |
| -2 | =SECH(-2) | 0.26580 |
SECH shrinks with input: 0 is 1, 1 drops to ~0.648. It’s a hyperbolic helper.
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