Math.sinh

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

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

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).

Examples

Using Math.sinh()

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

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;
}

Specifications

Specification	Status	Comment
ECMAScript 2015 (6th Edition, ECMA-262) The definition of 'Math.sinh' in that specification.	Standard	Initial definition.
ECMAScript 2017 Draft (ECMA-262) The definition of 'Math.sinh' in that specification.	Draft

Browser compatibility

See also

• Math.acosh()
• Math.asinh()
• Math.atanh()
• Math.cosh()
• Math.tanh()