SECH Google Sheet Formula

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SECH Formula Syntax

=SECH(0)

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

InputFormulaResult
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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