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<div class="header">
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<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">Angle and Trigonometry Functions</div> </div>
<div class="ingroups"><a class="el" href="a00154.html">GLM Core</a></div></div>
<div class="contents">
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#gafef7954b5fa3228f4aaabde8dfa862a1">acos</a> (genType const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#ga0f37ff6b6878a0169cd41249e5377e09">acosh</a> (genType const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#ga76b6422e62c99fa0849abdf21fcef5cf">asin</a> (genType const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#ga615d386dcfb41cdbbca2609c53113aac">asinh</a> (genType const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#ga2394d11075a74869cd88473c76722bc8">atan</a> (genType const &amp;y, genType const &amp;x)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#gadeda850d5dff43d4d069854b1b6a623c">atanh</a> (genType const &amp;x)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#gace62d5d164def52455aeff19e1bccd88">cos</a> (genType const &amp;angle)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#gaf1b20113fe439fa48524e8c35ea2c1d0">cosh</a> (genType const &amp;angle)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
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<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#ga4fb76e28851c9ff6653532566084e091">radians</a> (genType const &amp;degrees)</td></tr>
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<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#ga6f38bb1a343b5d73ac71ddd53baa3375">sinh</a> (genType const &amp;angle)</td></tr>
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<tr><td class="memTemplItemLeft" align="right" valign="top">genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00149.html#ga5315f571fd52f30d368abc056c4aea13">tanh</a> (genType const &amp;angle)</td></tr>
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<hr/><a name="details" id="details"></a><h2>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>
<hr/><h2>Function Documentation</h2>
<a class="anchor" id="gafef7954b5fa3228f4aaabde8dfa862a1"></a><!-- doxytag: member="glm::acos" ref="gafef7954b5fa3228f4aaabde8dfa862a1" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::acos </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><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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>
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</div>
<a class="anchor" id="ga0f37ff6b6878a0169cd41249e5377e09"></a><!-- doxytag: member="glm::acosh" ref="ga0f37ff6b6878a0169cd41249e5377e09" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::acosh </td>
<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
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<div class="memdoc">
<p>Arc hyperbolic cosine; returns the non-negative inverse of cosh. </p>
<p>Results are undefined if x &lt; 1. </p>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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>
</div>
</div>
<a class="anchor" id="ga76b6422e62c99fa0849abdf21fcef5cf"></a><!-- doxytag: member="glm::asin" ref="ga76b6422e62c99fa0849abdf21fcef5cf" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::asin </td>
<td>(</td>
<td class="paramtype">genType 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><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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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</div>
<a class="anchor" id="ga615d386dcfb41cdbbca2609c53113aac"></a><!-- doxytag: member="glm::asinh" ref="ga615d386dcfb41cdbbca2609c53113aac" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::asinh </td>
<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
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<p>Arc hyperbolic sine; returns the inverse of sinh. </p>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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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</div>
<a class="anchor" id="ga2394d11075a74869cd88473c76722bc8"></a><!-- doxytag: member="glm::atan" ref="ga2394d11075a74869cd88473c76722bc8" args="(genType const &amp;y, genType const &amp;x)" -->
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<td class="memname">genType glm::atan </td>
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<td class="paramname"><em>y</em>, </td>
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<tr>
<td class="paramkey"></td>
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<td class="paramtype">genType const &amp;&#160;</td>
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<td></td>
<td>)</td>
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<div class="memdoc">
<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><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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>Referenced by <a class="el" href="a00030_source.html#l00074">glm::atan2()</a>.</p>
</div>
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<a class="anchor" id="ga5db83034488156692939acb4f4e46fa6"></a><!-- doxytag: member="glm::atan" ref="ga5db83034488156692939acb4f4e46fa6" args="(genType const &amp;y_over_x)" -->
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<td>(</td>
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<td class="paramname"><em>y_over_x</em></td><td>)</td>
<td></td>
</tr>
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<div class="memdoc">
<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><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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>
</div>
</div>
<a class="anchor" id="gadeda850d5dff43d4d069854b1b6a623c"></a><!-- doxytag: member="glm::atanh" ref="gadeda850d5dff43d4d069854b1b6a623c" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::atanh </td>
<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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</tr>
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<div class="memdoc">
<p>Arc hyperbolic tangent; returns the inverse of tanh. </p>
<p>Results are undefined if abs(x) &gt;= 1.</p>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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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</div>
<a class="anchor" id="gace62d5d164def52455aeff19e1bccd88"></a><!-- doxytag: member="glm::cos" ref="gace62d5d164def52455aeff19e1bccd88" args="(genType const &amp;angle)" -->
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<td class="memname">genType glm::cos </td>
<td>(</td>
<td class="paramtype">genType 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><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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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<a class="anchor" id="gaf1b20113fe439fa48524e8c35ea2c1d0"></a><!-- doxytag: member="glm::cosh" ref="gaf1b20113fe439fa48524e8c35ea2c1d0" args="(genType const &amp;angle)" -->
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<td class="memname">genType glm::cosh </td>
<td>(</td>
<td class="paramtype">genType 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 cosine function, (exp(x) + exp(-x)) / 2. </p>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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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</div>
<a class="anchor" id="ga034bdb53d458242c506e4d830c7df3aa"></a><!-- doxytag: member="glm::degrees" ref="ga034bdb53d458242c506e4d830c7df3aa" args="(genType const &amp;radians)" -->
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<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>radians</em></td><td>)</td>
<td></td>
</tr>
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<p>Converts radians to degrees and returns the result. </p>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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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<a class="anchor" id="ga4fb76e28851c9ff6653532566084e091"></a><!-- doxytag: member="glm::radians" ref="ga4fb76e28851c9ff6653532566084e091" args="(genType const &amp;degrees)" -->
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<td class="memname">genType glm::radians </td>
<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>degrees</em></td><td>)</td>
<td></td>
</tr>
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<p>Converts degrees to radians and returns the result. </p>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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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<a class="anchor" id="ga4fcd05daafb008f20e121e727c0196c7"></a><!-- doxytag: member="glm::sin" ref="ga4fcd05daafb008f20e121e727c0196c7" args="(genType const &amp;angle)" -->
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<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
</tr>
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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><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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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</div>
<a class="anchor" id="ga6f38bb1a343b5d73ac71ddd53baa3375"></a><!-- doxytag: member="glm::sinh" ref="ga6f38bb1a343b5d73ac71ddd53baa3375" args="(genType const &amp;angle)" -->
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<td class="memname">genType glm::sinh </td>
<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
</tr>
</table>
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<div class="memdoc">
<p>Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2. </p>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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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</div>
<a class="anchor" id="ga43860bed05c85587e2d931b26d765640"></a><!-- doxytag: member="glm::tan" ref="ga43860bed05c85587e2d931b26d765640" args="(genType const &amp;angle)" -->
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<td class="memname">genType glm::tan </td>
<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>The standard trigonometric tangent function. </p>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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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</div>
<a class="anchor" id="ga5315f571fd52f30d368abc056c4aea13"></a><!-- doxytag: member="glm::tanh" ref="ga5315f571fd52f30d368abc056c4aea13" args="(genType const &amp;angle)" -->
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<td class="memname">genType glm::tanh </td>
<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>angle</em></td><td>)</td>
<td></td>
</tr>
</table>
</div>
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<p>Returns the hyperbolic tangent function, sinh(angle) / cosh(angle) </p>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">genType</td><td>Floating-point scalar or vector types. </td></tr>
</table>
</dd>
</dl>
<dl class="see"><dt><b>See also:</b></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>
</div>
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