From cb9e359a51c3249d8f5157db69d43fd413ddeda6 Mon Sep 17 00:00:00 2001
From: Florian Merz <me@fiji-flo.de>
Date: Thu, 11 Feb 2021 14:45:12 +0100
Subject: unslug ca: move

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+---
+title: Math.atanh()
+slug: Web/JavaScript/Referencia/Objectes_globals/Math/atanh
+translation_of: Web/JavaScript/Reference/Global_Objects/Math/atanh
+---
+<div>{{JSRef}}</div>
+
+<p>La funció <strong><code>Math.atanh()</code></strong> retorna l'arctangent hiperbòlica d'un nombre, és a dir</p>
+
+<p><math display="block"><semantics><mrow><mo>∀</mo><mi>x</mi><mo>∊</mo><mrow><mo>(</mo><mrow><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mrow><mo>)</mo></mrow><mo>,</mo><mstyle mathvariant="monospace"><mrow><mo lspace="0em" rspace="thinmathspace">Math.atanh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mstyle><mo>=</mo><mo lspace="0em" rspace="thinmathspace">arctanh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mtext> l'única </mtext><mspace width="thickmathspace"></mspace><mi>y</mi><mspace width="thickmathspace"></mspace><mtext>tal que</mtext><mspace width="thickmathspace"></mspace><mo lspace="0em" rspace="0em">tanh</mo><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><mi>x</mi></mrow><annotation encoding="TeX">\forall x \in \left( -1, 1 \right), \mathtt{\operatorname{Math.atanh}(x)} = \operatorname{arctanh}(x) = \text{ the unique } \; y \; \text{such that} \; \tanh(y) = x</annotation></semantics></math></p>
+
+<h2 id="Sintaxi">Sintaxi</h2>
+
+<pre class="syntaxbox"><code>Math.atanh(<var>x</var>)</code></pre>
+
+<h3 id="Paràmetres">Paràmetres</h3>
+
+<dl>
+ <dt><code>x</code></dt>
+ <dd>Un nombre.</dd>
+</dl>
+
+<h2 id="Descripció">Descripció</h2>
+
+<p>Com que que <code>atanh</code>() és un mètode estàtic de Math, sempre s'utilitza com a <code>Math.atanh</code>(), en comptes de com a mètode d'una instància de <code>Math </code>(<code>Math </code>no és un constructor).</p>
+
+<h2 id="Exemples">Exemples</h2>
+
+<h3 id="Utilitzar_Math.atanh()">Utilitzar <code>Math.atanh()</code></h3>
+
+<pre class="brush: js">Math.atanh(-2);  // NaN
+Math.atanh(-1);  // -Infinity
+Math.atanh(0);   // 0
+Math.atanh(0.5); // 0.5493061443340548
+Math.atanh(1);   // Infinity
+Math.atanh(2);   // NaN
+</pre>
+
+<p>Es retorna {{jsxref("NaN")}} per a valors més grans que 1 o més petits que -1.</p>
+
+<h2 id="Polyfill">Polyfill</h2>
+
+<p>Per a <math><semantics><mrow><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow><mo>&lt;</mo><mn>1</mn></mrow><annotation encoding="TeX">\left|x\right| &lt; 1</annotation></semantics></math>, tenim que <math><semantics><mrow><mo lspace="0em" rspace="thinmathspace">artanh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo lspace="0em" rspace="0em">ln</mo><mrow><mo>(</mo><mfrac><mrow><mn>1</mn><mo>+</mo><mi>x</mi></mrow><mrow><mn>1</mn><mo>-</mo><mi>x</mi></mrow></mfrac><mo>)</mo></mrow></mrow><annotation encoding="TeX">\operatorname {artanh} (x) = \frac{1}{2}\ln \left( \frac{1 + x}{1 - x} \right)</annotation></semantics></math> , que podem emular amb la funció següent:</p>
+
+<pre class="brush: js">Math.atanh = Math.atanh || function(x) {
+  return Math.log((1+x)/(1-x)) / 2;
+};
+</pre>
+
+<h2 id="Especificacions">Especificacions</h2>
+
+<table class="standard-table">
+ <tbody>
+  <tr>
+   <th scope="col">Especificació</th>
+   <th scope="col">Estat</th>
+   <th scope="col">Comentaris</th>
+  </tr>
+  <tr>
+   <td>{{SpecName('ES6', '#sec-math.atanh', 'Math.atanh')}}</td>
+   <td>{{Spec2('ES6')}}</td>
+   <td>Definició inicial.</td>
+  </tr>
+ </tbody>
+</table>
+
+<h2 id="Compatibilitat_amb_navegadors">Compatibilitat amb navegadors</h2>
+
+<div>{{CompatibilityTable}}</div>
+
+<div id="compat-desktop">
+<table class="compat-table">
+ <tbody>
+  <tr>
+   <th>Característica</th>
+   <th>Chrome</th>
+   <th>Firefox (Gecko)</th>
+   <th>Internet Explorer</th>
+   <th>Opera</th>
+   <th>Safari</th>
+  </tr>
+  <tr>
+   <td>Suport bàsic</td>
+   <td>{{CompatChrome("38")}}</td>
+   <td>{{CompatGeckoDesktop("25")}}</td>
+   <td>{{CompatNo}}</td>
+   <td>{{CompatOpera("25")}}</td>
+   <td>{{CompatSafari("7.1")}}</td>
+  </tr>
+ </tbody>
+</table>
+</div>
+
+<div id="compat-mobile">
+<table class="compat-table">
+ <tbody>
+  <tr>
+   <th>Característica</th>
+   <th>Android</th>
+   <th>Chrome for Android</th>
+   <th>Firefox Mobile (Gecko)</th>
+   <th>IE Mobile</th>
+   <th>Opera Mobile</th>
+   <th>Safari Mobile</th>
+  </tr>
+  <tr>
+   <td>Suport bàsic</td>
+   <td>{{CompatNo}}</td>
+   <td>{{CompatNo}}</td>
+   <td>{{CompatGeckoMobile("25")}}</td>
+   <td>{{CompatNo}}</td>
+   <td>{{CompatNo}}</td>
+   <td>8</td>
+  </tr>
+ </tbody>
+</table>
+</div>
+
+<h2 id="Vegeu_també">Vegeu també</h2>
+
+<ul>
+ <li>{{jsxref("Math.acosh()")}} {{experimental_inline}}</li>
+ <li>{{jsxref("Math.asinh()")}} {{experimental_inline}}</li>
+ <li>{{jsxref("Math.cosh()")}} {{experimental_inline}}</li>
+ <li>{{jsxref("Math.sinh()")}} {{experimental_inline}}</li>
+ <li>{{jsxref("Math.tanh()")}} {{experimental_inline}}</li>
+</ul>
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