# Function sech Calculate the hyperbolic secant of a value, defined as `sech(x) = 1 / cosh(x)`. For matrices, the function is evaluated element wise. ## Syntax ```js math.sech(x) ``` ### Parameters Parameter | Type | Description --------- | ---- | ----------- `x` | number | Complex | Unit | Array | Matrix | Function input ### Returns Type | Description ---- | ----------- number | Complex | Array | Matrix | Hyperbolic secant of x ### Throws Type | Description ---- | ----------- ## Examples ```js // sech(x) = 1/ cosh(x) math.sech(0.5) // returns 0.886818883970074 1 / math.cosh(0.5) // returns 0.886818883970074 ``` ## See also [cosh](cosh.md), [csch](csch.md), [coth](coth.md)