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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>Function parameters specified as angle are assumed to be in units of radians. </p>
<p>In no case will any of these functions result in a divide by zero error. If the divisor of a ratio is 0, then results will be undefined.</p>
<p>These all operate component-wise. The description is per component.</p>
<p>Include &lt;<a class="el" href="a00647.html" title="Core features ">glm/trigonometric.hpp</a>&gt; to use these core features.</p>
<dl class="section see"><dt>See also</dt><dd>ext_vector_trigonometric </dd></dl>
<h2 class="groupheader">Function Documentation</h2>
<a id="gacc9b092df8257c68f19c9053703e2563"></a>
<h2 class="memtitle"><span class="permalink"><a href="#gacc9b092df8257c68f19c9053703e2563">&#9670;&nbsp;</a></span>acos()</h2>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Arc cosine. </p>
<p>Returns an angle whose sine is x. The range of values returned by this function is [0, PI]. Results are undefined if |x| &gt; 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acos.xml">GLSL acos man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
</div>
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<a id="ga858f35dc66fd2688f20c52b5f25be76a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ga858f35dc66fd2688f20c52b5f25be76a">&#9670;&nbsp;</a></span>acosh()</h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::acosh </td>
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<p>Arc hyperbolic cosine; returns the non-negative inverse of cosh. </p>
<p>Results are undefined if x &lt; 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acosh.xml">GLSL acosh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<a id="ga0552d2df4865fa8c3d7cfc3ec2caac73"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ga0552d2df4865fa8c3d7cfc3ec2caac73">&#9670;&nbsp;</a></span>asin()</h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::asin </td>
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<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Arc sine. </p>
<p>Returns an angle whose sine is x. The range of values returned by this function is [-PI/2, PI/2]. Results are undefined if |x| &gt; 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
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<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asin.xml">GLSL asin man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<a id="ga3ef16b501ee859fddde88e22192a5950"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ga3ef16b501ee859fddde88e22192a5950">&#9670;&nbsp;</a></span>asinh()</h2>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Arc hyperbolic sine; returns the inverse of sinh. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
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</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asinh.xml">GLSL asinh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#gac61629f3a4aa14057e7a8cae002291db">&#9670;&nbsp;</a></span>atan() <span class="overload">[1/2]</span></h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::atan </td>
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<p>Arc tangent. </p>
<p>Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
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</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
<p class="reference">Referenced by <a class="el" href="a00461_source.html#l00055">glm::atan2()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ga5229f087eaccbc466f1c609ce3107b95">&#9670;&nbsp;</a></span>atan() <span class="overload">[2/2]</span></h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::atan </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>y_over_x</em></td><td>)</td>
<td></td>
</tr>
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<p>Arc tangent. </p>
<p>Returns an angle whose tangent is y_over_x. The range of values returned by this function is [-PI/2, PI/2].</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#gabc925650e618357d07da255531658b87">&#9670;&nbsp;</a></span>atanh()</h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::atanh </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
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<p>Arc hyperbolic tangent; returns the inverse of tanh. </p>
<p>Results are undefined if abs(x) &gt;= 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atanh.xml">GLSL atanh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ga6a41efc740e3b3c937447d3a6284130e">&#9670;&nbsp;</a></span>cos()</h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::cos </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
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<p>The standard trigonometric cosine function. </p>
<p>The values returned by this function will range from [-1, 1].</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cos.xml">GLSL cos man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ga4e260e372742c5f517aca196cf1e62b3">&#9670;&nbsp;</a></span>cosh()</h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::cosh </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
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<p>Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cosh.xml">GLSL cosh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ga8faec9e303538065911ba8b3caf7326b">&#9670;&nbsp;</a></span>degrees()</h2>
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<td class="memname">GLM_FUNC_DECL GLM_CONSTEXPR vec&lt;L, T, Q&gt; glm::degrees </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>radians</em></td><td>)</td>
<td></td>
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</table>
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<p>Converts radians to degrees and returns the result. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/degrees.xml">GLSL degrees man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ga6e1db4862c5e25afd553930e2fdd6a68">&#9670;&nbsp;</a></span>radians()</h2>
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<td class="memname">GLM_FUNC_DECL GLM_CONSTEXPR vec&lt;L, T, Q&gt; glm::radians </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>degrees</em></td><td>)</td>
<td></td>
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<p>Converts degrees to radians and returns the result. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/radians.xml">GLSL radians man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ga29747fd108cb7292ae5a284f69691a69">&#9670;&nbsp;</a></span>sin()</h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::sin </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
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<p>The standard trigonometric sine function. </p>
<p>The values returned by this function will range from [-1, 1].</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sin.xml">GLSL sin man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#gac7c39ff21809e281552b4dbe46f4a39d">&#9670;&nbsp;</a></span>sinh()</h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::sinh </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
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<p>Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sinh.xml">GLSL sinh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ga293a34cfb9f0115cc606b4a97c84f11f">&#9670;&nbsp;</a></span>tan()</h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::tan </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
</tr>
</table>
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<p>The standard trigonometric tangent function. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tan.xml">GLSL tan man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#gaa1bccbfdcbe40ed2ffcddc2aa8bfd0f1">&#9670;&nbsp;</a></span>tanh()</h2>
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<td class="memname">GLM_FUNC_DECL vec&lt;L, T, Q&gt; glm::tanh </td>
<td>(</td>
<td class="paramtype">vec&lt; L, T, Q &gt; const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns the hyperbolic tangent function, sinh(angle) / cosh(angle) </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">L</td><td>Integer between 1 and 4 included that qualify the dimension of the vector </td></tr>
<tr><td class="paramname">T</td><td>Floating-point scalar types </td></tr>
<tr><td class="paramname">Q</td><td>Value from qualifier enum</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tanh.xml">GLSL tanh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>
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