# Function sinh Calculate the hyperbolic sine of a value, defined as `sinh(x) = 1/2 * (exp(x) - exp(-x))`. For matrices, the function is evaluated element wise. ## Syntax ```js math.sinh(x) ``` ### Parameters Parameter | Type | Description --------- | ---- | ----------- `x` | number | BigNumber | Complex | Unit | Array | Matrix | Function input ### Returns Type | Description ---- | ----------- number | BigNumber | Complex | Array | Matrix | Hyperbolic sine of x ### Throws Type | Description ---- | ----------- ## Examples ```js math.sinh(0.5) // returns number 0.5210953054937474 ``` ## See also [cosh](cosh.md), [tanh](tanh.md)