Math.sinh()

The Math.sinh() function returns the hyperbolic sine of a number, that can be expressed using the constant e:

$Math.sinh(x) = e x - e - x 2 \mathtt{\operatorname{Math.sinh(x)}} = \frac{e^x - e^{-x}}{2}$

Syntax

Math.sinh(x)

Parameters

x
A number.

Return value

The hyperbolic sine of the given number.

Description

Because sinh() is a static method of Math, you always use it as Math.sinh(), rather than as a method of a Math object you created (Math is not a constructor).

Polyfill

This can be emulated with the help of the Math.exp() function:

Math.sinh = Math.sinh || function(x) {
return (Math.exp(x) - Math.exp(-x)) / 2;
}


or using only one call to the Math.exp() function:

Math.sinh = Math.sinh || function(x) {
var y = Math.exp(x);
return (y - 1 / y) / 2;
}


Examples

Using Math.sinh()

Math.sinh(0); // 0
Math.sinh(1); // 1.1752011936438014


Browser compatibility

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