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| author | Peter Bengtsson <mail@peterbe.com> | 2020-12-08 14:41:15 -0500 |
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| committer | Peter Bengtsson <mail@peterbe.com> | 2020-12-08 14:41:15 -0500 |
| commit | 4b1a9203c547c019fc5398082ae19a3f3d4c3efe (patch) | |
| tree | d4a40e13ceeb9f85479605110a76e7a4d5f3b56b /files/de/web/javascript/reference/global_objects/math/atan | |
| parent | 33058f2b292b3a581333bdfb21b8f671898c5060 (diff) | |
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initial commit
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| -rw-r--r-- | files/de/web/javascript/reference/global_objects/math/atan/index.html | 105 |
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diff --git a/files/de/web/javascript/reference/global_objects/math/atan/index.html b/files/de/web/javascript/reference/global_objects/math/atan/index.html new file mode 100644 index 0000000000..1c37c3dcc4 --- /dev/null +++ b/files/de/web/javascript/reference/global_objects/math/atan/index.html @@ -0,0 +1,105 @@ +--- +title: Math.atan() +slug: Web/JavaScript/Reference/Global_Objects/Math/atan +tags: + - JavaScript + - Math + - Method + - Reference +translation_of: Web/JavaScript/Reference/Global_Objects/Math/atan +--- +<div>{{JSRef}}</div> + +<p><code>Die Funktion </code><strong><code>Math.atan()</code></strong> gibt den Arkustangens (im Radiantenmaß) einer Zahl zurück:</p> + +<p><math display="block"><semantics><mrow><mstyle mathvariant="monospace"><mrow><mo lspace="0em" rspace="thinmathspace">Math.atan</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mstyle><mo>=</mo><mo lspace="0em" rspace="0em">arctan</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mtext> das Ergebnis </mtext><mspace width="thickmathspace"></mspace><mi>y</mi><mo>∊</mo><mrow><mo>[</mo><mrow><mo>-</mo><mfrac><mi>π</mi><mn>2</mn></mfrac><mo>;</mo><mfrac><mi>π</mi><mn>2</mn></mfrac></mrow><mo>]</mo></mrow><mspace width="thinmathspace"></mspace><mtext>so </mtext><mtext>dass</mtext><mspace width="thickmathspace"></mspace><mo lspace="0em" rspace="0em">tan</mo><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><mi>x</mi></mrow><annotation encoding="TeX">\mathtt{\operatorname{Math.atan}(x)} = \arctan(x) = \text{ the unique } \; y \in \left[-\frac{\pi}{2}; \frac{\pi}{2}\right] \, \text{such that} \; \tan(y) = x</annotation></semantics></math></p> + +<div>{{EmbedInteractiveExample("pages/js/math-atan.html")}}</div> + + + +<h2 id="Syntax">Syntax</h2> + +<pre class="syntaxbox"><code>Math.atan(<var>x</var>)</code></pre> + +<h3 id="Parameter">Parameter</h3> + +<dl> + <dt><code>x</code></dt> + <dd>Eine Zahl.</dd> +</dl> + +<h3 id="Rückgabewert">Rückgabewert</h3> + +<p>Der Arkustangens (im Radiantenmaß) der übergebenen Zahl.</p> + +<h2 id="Beschreibung">Beschreibung</h2> + +<p><code>Die Math.atan()</code> Methode gibt einen numerischen Wert zwischen <math><semantics><mrow><mo>-</mo><mfrac><mi>π</mi><mn>2</mn></mfrac></mrow><annotation encoding="TeX">-\frac{\pi}{2}</annotation></semantics></math> und <math><semantics><mfrac><mi>π</mi><mn>2</mn></mfrac><annotation encoding="TeX">\frac{\pi}{2}</annotation></semantics></math> im Radiantenmaß zurück.</p> + +<p><code>Weil atan()</code> eine statische Methode von Math ist, muss diese immer mit <code>Math.atan()</code> genutzt werden, ohne dass ein Objekt von Math erstellt wird (<code>Math</code> ist kein Konstruktor).</p> + +<h2 id="Beispiele">Beispiele</h2> + +<h3 id="Verwendung_von_Math.atan()">Verwendung von <code>Math.atan()</code></h3> + +<pre class="brush: js line-numbers language-js"><code class="language-js">Math<span class="punctuation token">.</span><span class="function token">atan</span><span class="punctuation token">(</span><span class="number token">1</span><span class="punctuation token">)</span><span class="punctuation token">;</span> <span class="comment token">// 0.7853981633974483</span> +Math<span class="punctuation token">.</span><span class="function token">atan</span><span class="punctuation token">(</span><span class="number token">0</span><span class="punctuation token">)</span><span class="punctuation token">;</span> <span class="comment token">// 0</span> +Math<span class="punctuation token">.</span><span class="function token">atan</span><span class="punctuation token">(</span><span class="operator token">-</span><span class="number token">0</span><span class="punctuation token">)</span><span class="punctuation token">;</span> <span class="comment token">// -0</span> + +Math<span class="punctuation token">.</span><span class="function token">atan</span><span class="punctuation token">(</span><span class="number token">Infinity</span><span class="punctuation token">)</span><span class="punctuation token">;</span> <span class="comment token">// 1.5707963267948966</span> +Math<span class="punctuation token">.</span><span class="function token">atan</span><span class="punctuation token">(</span><span class="operator token">-</span><span class="number token">Infinity</span><span class="punctuation token">)</span><span class="punctuation token">;</span> <span class="comment token">// -1.5707963267948966</span> + +<span class="comment token">// The angle that the line [(0,0);(x,y)] forms with the x-axis in a Cartesian coordinate system</span> +Math<span class="punctuation token">.</span><span class="function token">atan</span><span class="punctuation token">(</span>y <span class="operator token">/</span> x<span class="punctuation token">)</span><span class="punctuation token">;</span></code></pre> + +<p>Beachten Sie, dass es manchmal aus stilistischen Gründen gewollt ist, dass <strong>±</strong><code>Infinity</code> vermieden werden soll. In diesen Fällen kann die Funktion {{jsxref("Math.atan2()")}} mit <code>0</code> als zweiten Parameter bessere Ergebnisse liefern.</p> + +<h2 id="Spezifikationen">Spezifikationen</h2> + +<table class="standard-table"> + <tbody> + <tr> + <th scope="col">Spezifikation</th> + <th scope="col">Status</th> + <th scope="col">Kommentar</th> + </tr> + <tr> + <td>{{SpecName('ES1')}}</td> + <td>{{Spec2('ES1')}}</td> + <td>Initiale Definition. Implementiert in JavaScript 1.0.</td> + </tr> + <tr> + <td>{{SpecName('ES5.1', '#sec-15.8.2.4', 'Math.atan')}}</td> + <td>{{Spec2('ES5.1')}}</td> + <td> </td> + </tr> + <tr> + <td>{{SpecName('ES6', '#sec-math.atan', 'Math.atan')}}</td> + <td>{{Spec2('ES6')}}</td> + <td> </td> + </tr> + <tr> + <td>{{SpecName('ESDraft', '#sec-math.atan', 'Math.atan')}}</td> + <td>{{Spec2('ESDraft')}}</td> + <td> </td> + </tr> + </tbody> +</table> + +<h2 id="Browserkompatibilität">Browserkompatibilität</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.atan")}}</p> + +<h2 id="Siehe_auch">Siehe auch</h2> + +<ul> + <li>{{jsxref("Math.acos()")}}</li> + <li>{{jsxref("Math.asin()")}}</li> + <li>{{jsxref("Math.atan2()")}}</li> + <li>{{jsxref("Math.cos()")}}</li> + <li>{{jsxref("Math.sin()")}}</li> + <li>{{jsxref("Math.tan()")}}</li> +</ul> |
