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authorFlorian Merz <me@fiji-flo.de>2021-02-11 14:45:12 +0100
committerFlorian Merz <me@fiji-flo.de>2021-02-11 14:45:12 +0100
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----
-title: Math.tanh()
-slug: Web/JavaScript/Referencia/Objectes_globals/Math/tanh
-translation_of: Web/JavaScript/Reference/Global_Objects/Math/tanh
----
-<div>{{JSRef}}</div>
-
-<p>La funció <strong><code>Math.tanh()</code></strong> retorna la tangent hiperbòlica d'un nombre, és a dir</p>
-
-<p><math display="block"><semantics><mrow><mo lspace="0em" rspace="0em">tanh</mo><mi>x</mi><mo>=</mo><mfrac><mrow><mo lspace="0em" rspace="0em">sinh</mo><mi>x</mi></mrow><mrow><mo lspace="0em" rspace="0em">cosh</mo><mi>x</mi></mrow></mfrac><mo>=</mo><mfrac><mrow><msup><mi>e</mi><mi>x</mi></msup><mo>-</mo><msup><mi>e</mi><mrow><mo>-</mo><mi>x</mi></mrow></msup></mrow><mrow><msup><mi>e</mi><mi>x</mi></msup><mo>+</mo><msup><mi>e</mi><mrow><mo>-</mo><mi>x</mi></mrow></msup></mrow></mfrac><mo>=</mo><mfrac><mrow><msup><mi>e</mi><mrow><mn>2</mn><mi>x</mi></mrow></msup><mo>-</mo><mn>1</mn></mrow><mrow><msup><mi>e</mi><mrow><mn>2</mn><mi>x</mi></mrow></msup><mo>+</mo><mn>1</mn></mrow></mfrac></mrow><annotation encoding="TeX">\tanh x = \frac{\sinh x}{\cosh x} = \frac {e^x - e^{-x}} {e^x + e^{-x}} = \frac{e^{2x} - 1}{e^{2x}+1}</annotation></semantics></math></p>
-
-<h2 id="Sintaxi">Sintaxi</h2>
-
-<pre class="syntaxbox"><code>Math.tanh(<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>tanh()</code> és un mètode estàtic de <code>Math</code>, sempre s'utilitza com a <code>Math.tanh()</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.tanh()">Utilitzar <code>Math.tanh()</code></h3>
-
-<pre class="brush: js">Math.tanh(0); // 0
-Math.tanh(Infinity); // 1
-Math.tanh(1); // 0.7615941559557649
-</pre>
-
-<h2 id="Polyfill">Polyfill</h2>
-
-<p>Aquest comportament pot emular-se amb l'ajuda de la funció {{jsxref("Math.exp()")}}:</p>
-
-<pre class="brush: js">Math.tanh = Math.tanh || function(x) {
- if (x === Infinity) {
- return 1;
- } else if (x === -Infinity) {
- return -1;
- } else {
- return (Math.exp(x) - Math.exp(-x)) / (Math.exp(x) + Math.exp(-x));
- }
-}
-</pre>
-
-<p>o bé utilitzant només una crida a {{jsxref("Math.exp()")}}:</p>
-
-<pre class="brush: js">Math.tanh = Math.tanh || function(x) {
- if (x === Infinity) {
- return 1;
- } else if (x === -Infinity) {
- return -1;
- } else {
- var y = Math.exp(2 * x);
- return (y - 1) / (y + 1);
- }
-}
-</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.tanh', 'Math.tanh')}}</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.atanh()")}} {{experimental_inline}}</li>
- <li>{{jsxref("Math.cosh()")}} {{experimental_inline}}</li>
- <li>{{jsxref("Math.sinh()")}} {{experimental_inline}}</li>
-</ul>