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---
title: Math.acosh()
slug: Web/JavaScript/Reference/Global_Objects/Math/acosh
tags:
- JavaScript
- Math
- Method
- Reference
- Referencia
- metodo
translation_of: Web/JavaScript/Reference/Global_Objects/Math/acosh
---
<div>{{JSRef}}</div>
<p>A função Math.acosh() retorna o arco cosseno hiperbólico de um número, onde</p>
<p><math display="block"><semantics><mrow><mo>∀</mo><mi>x</mi><mo>≥</mo><mn>1</mn><mo>,</mo><mstyle mathvariant="monospace"><mrow><mo lspace="0em" rspace="thinmathspace">Math.acosh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mstyle><mo>=</mo><mo lspace="0em" rspace="thinmathspace">arcosh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mtext> the unique </mtext><mspace width="thickmathspace"></mspace><mi>y</mi><mo>≥</mo><mn>0</mn><mspace width="thickmathspace"></mspace><mtext>such that</mtext><mspace width="thickmathspace"></mspace><mo lspace="0em" rspace="0em">cosh</mo><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><mi>x</mi></mrow><annotation encoding="TeX">\forall x \geq 1, \mathtt{\operatorname{Math.acosh}(x)} = \operatorname{arcosh}(x) = \text{ the unique } \; y \geq 0 \; \text{such that} \; \cosh(y) = x</annotation></semantics></math></p>
<h2 id="Sintaxe">Sintaxe</h2>
<pre class="syntaxbox"><code>Math.acosh(<var>x</var>)</code></pre>
<h3 id="Parâmetros">Parâmetros</h3>
<dl>
<dt><code>x</code></dt>
<dd>Um número.</dd>
</dl>
<h3 id="Valor_retornado">Valor retornado</h3>
<p>The hyperbolic arc-cosine of the given number. If the number is less than <strong>1</strong>, {{jsxref("NaN")}}.</p>
<p>O arco cosseno hiperbólico do número recebido. Se o número for menor que 1, {{jsxref("NaN")}} é retornado.</p>
<h2 id="Descrição">Descrição</h2>
<p>Por <code>acosh()</code> ser um método estático de <code>Math</code>, deve-se sempre usá-lo como <code>Math.acosh()</code>, e não como um método de um objeto <code>Math</code> que você criou.</p>
<h2 id="Exemplos">Exemplos</h2>
<h3 id="Usando_Math.acosh()">Usando <code>Math.acosh()</code></h3>
<pre class="brush: js">Math.acosh(-1); // NaN
Math.acosh(0); // NaN
Math.acosh(0.5); // NaN
Math.acosh(1); // 0
Math.acosh(2); // 1.3169578969248166
</pre>
<p>For values less than 1 <code>Math.acosh()</code> returns {{jsxref("NaN")}}.</p>
<p>Para valores menores que 1, <code>Math.acosh()</code> retornará {{jsxref("NaN")}}.</p>
<h2 id="Polyfill">Polyfill</h2>
<p>Para todo <math><semantics><mrow><mi>x</mi><mo>≥</mo><mn>1</mn></mrow><annotation encoding="TeX">x \geq 1</annotation></semantics></math>, temos <math><semantics><mrow><mo lspace="0em" rspace="thinmathspace">arcosh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mo lspace="0em" rspace="0em">ln</mo><mrow><mo>(</mo><mrow><mi>x</mi><mo>+</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></msqrt></mrow><mo>)</mo></mrow></mrow><annotation encoding="TeX">\operatorname {arcosh} (x) = \ln \left(x + \sqrt{x^{2} - 1} \right)</annotation></semantics></math>. Dessa maneira, este comportamento pode ser emulado da seguinte maneira:</p>
<pre class="brush: js">Math.acosh = Math.acosh || function(x) {
return Math.log(x + Math.sqrt(x * x - 1));
};
</pre>
<h2 id="Especificações">Especificações</h2>
<table class="standard-table">
<tbody>
<tr>
<th scope="col">Specification</th>
<th scope="col">Status</th>
<th scope="col">Comment</th>
</tr>
<tr>
<td>{{SpecName('ES6', '#sec-math.acosh', 'Math.acosh')}}</td>
<td>{{Spec2('ES6')}}</td>
<td>Definição inicial.</td>
</tr>
<tr>
<td>{{SpecName('ESDraft', '#sec-math.acosh', 'Math.acosh')}}</td>
<td>{{Spec2('ESDraft')}}</td>
<td> </td>
</tr>
</tbody>
</table>
<h2 id="Compatibilidade_nos_navegadores">Compatibilidade nos navegadores</h2>
<p class="hidden">The compatibility table in this page is generated from structured data. If you'd like to contribute to the data, please check out <a href="https://github.com/mdn/browser-compat-data">https://github.com/mdn/browser-compat-data</a> and send us a pull request.</p>
<p>{{Compat("javascript.builtins.Math.acosh")}}</p>
<h2 id="See_also">See also</h2>
<ul>
<li>{{jsxref("Math.asinh()")}}</li>
<li>{{jsxref("Math.atanh()")}}</li>
<li>{{jsxref("Math.cosh()")}}</li>
<li>{{jsxref("Math.sinh()")}}</li>
<li>{{jsxref("Math.tanh()")}}</li>
</ul>
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