ReferenceFunctionsMath Functions

SECH

SECH: Returns the hyperbolic secant of a number, defined as `1 / COSH(x)`.

Summary

SECH produces values in (0, 1] for real inputs.

Remarks

Domain: accepts any real number.
Radians: this function is hyperbolic, so the input is not treated as an angle in radians.
Errors: no function-specific domain errors are produced.

Examples

Hyperbolic secant at zero

Grid

Cell	Value
No inputs on Sheet1.

Formula

=

Result

Not evaluated yet.

Expected

1

Hyperbolic secant at two

Grid

Cell	Value
No inputs on Sheet1.

Formula

=

Result

Not evaluated yet.

Expected

0.2658022288340797

FAQ

Can SECH be negative for real inputs?

No. For real numbers, SECH = 1/COSH is always positive.

Runtime metadata

Category

Math

Signature

SECH(arg1: Any)

Arity

min 1, max 1

Arguments

arg1

Any · Scalar

Caps

PUREELEMENTWISENUMERIC_ONLY

Source

crates/formualizer-eval/src/builtins/math/trig.rs

SEC

Returns the secant of an angle, defined as `1 / COS(angle)`.

SERIESSUM

SERIESSUM: Evaluates a power series from coefficients, start power, and step.

On this page

Summary Remarks Examples Related functions FAQ Can SECH be negative for real inputs?Runtime metadata