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----
-title: Math.atanh()
-slug: Web/JavaScript/Reference/Global_Objects/Math/atanh
-translation_of: Web/JavaScript/Reference/Global_Objects/Math/atanh
-original_slug: Web/JavaScript/Referencia/Objectes_globals/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>