Math.acosh()

Baseline Widely available

This feature is well established and works across many devices and browser versions. It’s been available across browsers since July 2015.

Math.acosh() 函数返回一个数的反双曲余弦值,即:

x1,Math.acosh(x)=arcosh(x)= the unique y0such thatcosh(y)=x\forall x \geq 1, \mathtt{\operatorname{Math.acosh}(x)} = \operatorname{arcosh}(x) = \text{ 唯一的} ; y \geq 0 ; \text{使得} ; \cosh(y) = x

尝试一下

console.log(Math.acosh(0.999999999999));
// Expected output: NaN

console.log(Math.acosh(1));
// Expected output: 0

console.log(Math.acosh(2));
// Expected output: 1.3169578969248166

console.log(Math.acosh(2.5));
// Expected output: 1.566799236972411

语法

js
Math.acosh(x)

参数

x

一个数字。

返回值

返回给定数的反双曲余弦值,如果该数小于 1 则返回 NaN

描述

因为 acosh()Math 的静态方法,所以你应该通过 Math.acosh() 调用,而不是作为你创建的 Math 对象的方法(Math 不是构造函数)。

示例

使用 Math.acosh()

js
Math.acosh(-1); // NaN
Math.acosh(0); // NaN
Math.acosh(0.5); // NaN
Math.acosh(1); // 0
Math.acosh(2); // 1.3169578969248166

当参数小于 1 时,Math.acosh() 将返回 NaN

向下兼容

x1x \geq 1 时,都有 arcosh(x)=ln(x+x2-1)\operatorname {arcosh} (x) = \ln \left(x + \sqrt{x^{2} - 1} \right) ,因此可以使用以下函数实现:

js
Math.acosh =
  Math.acosh ||
  function (x) {
    return Math.log(x + Math.sqrt(x * x - 1));
  };

规范

Specification
ECMAScript® 2025 Language Specification
# sec-math.acosh

浏览器兼容性

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Chrome
Edge
Firefox
Opera
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Chrome Android
Firefox for Android
Opera Android
Safari on iOS
Samsung Internet
WebView Android
WebView on iOS
Deno
Node.js
acosh

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Full support
Full support

参见