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<a href="#func-members">Functions</a> </div>
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<h1>Angle and Trigonometry Functions</h1> </div>
<div class="ingroups"><a class="el" href="a00154.html">GLM Core</a></div></div>
<div class="contents">
<p>Function parameters specified as angle are assumed to be in units of radians.
<a href="#_details">More...</a></p>
<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#ga33272ee0c449d56ab93ff999edde9007">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#ga827e72f8342ee6e9b37ad8781a9cf96b">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#ga42595a0c8ad51101941eee5f3f611fce">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#ga5f937e3160aa3c8e692a608e08c6a2f9">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#ga6c015e14cbcdb6ec0c39649a11fe65fb">atan</a> (genType const &amp;y, 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#ga42b12ef7b8286cd82f1ab01024e8f3ed">atan</a> (genType const &amp;y_over_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#gaf0a48950eb811f675a0d128d13c79110">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#ga6805306f226985dc7811981f26805af8">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#ga78334e0ac183eb5dfd53c6f3347a21da">cosh</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#ga09225aec06af6c985ab811f53aebdcb8">degrees</a> (genType const &amp;radians)</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#gae2d4a72c55c46a8ef56b61d16a6534a9">radians</a> (genType const &amp;degrees)</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#ga03b5b3713bb07416c65ddc7c59c2082d">sin</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#ga6324dac58b5ebc549eac5746d8447eac">sinh</a> (genType const &amp;angle)</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#ga9afc7bd03a65a2d77bc25971cc166b11">tanh</a> (genType const &amp;angle)</td></tr>
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<hr/><a name="_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="ga33272ee0c449d56ab93ff999edde9007"></a><!-- doxytag: member="glm::acos" ref="ga33272ee0c449d56ab93ff999edde9007" args="(genType const &amp;x)" -->
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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</a> </dd></dl>
</div>
</div>
<a class="anchor" id="ga827e72f8342ee6e9b37ad8781a9cf96b"></a><!-- doxytag: member="glm::acosh" ref="ga827e72f8342ee6e9b37ad8781a9cf96b" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::acosh </td>
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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</a> </dd></dl>
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</div>
<a class="anchor" id="ga42595a0c8ad51101941eee5f3f611fce"></a><!-- doxytag: member="glm::asin" ref="ga42595a0c8ad51101941eee5f3f611fce" args="(genType const &amp;x)" -->
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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</a> </dd></dl>
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</div>
<a class="anchor" id="ga5f937e3160aa3c8e692a608e08c6a2f9"></a><!-- doxytag: member="glm::asinh" ref="ga5f937e3160aa3c8e692a608e08c6a2f9" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::asinh </td>
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<td></td>
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<div class="memdoc">
<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</a> </dd></dl>
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<a class="anchor" id="ga6c015e14cbcdb6ec0c39649a11fe65fb"></a><!-- doxytag: member="glm::atan" ref="ga6c015e14cbcdb6ec0c39649a11fe65fb" args="(genType const &amp;y, genType const &amp;x)" -->
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<td class="paramkey"></td>
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<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</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="ga42b12ef7b8286cd82f1ab01024e8f3ed"></a><!-- doxytag: member="glm::atan" ref="ga42b12ef7b8286cd82f1ab01024e8f3ed" args="(genType const &amp;y_over_x)" -->
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<td class="memname">genType glm::atan </td>
<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>y_over_x</em></td><td>)</td>
<td></td>
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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</a> </dd></dl>
</div>
</div>
<a class="anchor" id="gaf0a48950eb811f675a0d128d13c79110"></a><!-- doxytag: member="glm::atanh" ref="gaf0a48950eb811f675a0d128d13c79110" 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>
<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</a> </dd></dl>
</div>
</div>
<a class="anchor" id="ga6805306f226985dc7811981f26805af8"></a><!-- doxytag: member="glm::cos" ref="ga6805306f226985dc7811981f26805af8" 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>
</tr>
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<div class="memdoc">
<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</a> </dd></dl>
</div>
</div>
<a class="anchor" id="ga78334e0ac183eb5dfd53c6f3347a21da"></a><!-- doxytag: member="glm::cosh" ref="ga78334e0ac183eb5dfd53c6f3347a21da" 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>
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<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</a> </dd></dl>
</div>
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<a class="anchor" id="ga09225aec06af6c985ab811f53aebdcb8"></a><!-- doxytag: member="glm::degrees" ref="ga09225aec06af6c985ab811f53aebdcb8" args="(genType const &amp;radians)" -->
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<td class="memname">genType glm::degrees </td>
<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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<div class="memdoc">
<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</a> </dd></dl>
</div>
</div>
<a class="anchor" id="gae2d4a72c55c46a8ef56b61d16a6534a9"></a><!-- doxytag: member="glm::radians" ref="gae2d4a72c55c46a8ef56b61d16a6534a9" 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</a> </dd></dl>
</div>
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<a class="anchor" id="ga03b5b3713bb07416c65ddc7c59c2082d"></a><!-- doxytag: member="glm::sin" ref="ga03b5b3713bb07416c65ddc7c59c2082d" args="(genType const &amp;angle)" -->
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<td class="memname">genType glm::sin </td>
<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</a> </dd></dl>
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<a class="anchor" id="ga6324dac58b5ebc549eac5746d8447eac"></a><!-- doxytag: member="glm::sinh" ref="ga6324dac58b5ebc549eac5746d8447eac" 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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<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</a> </dd></dl>
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<a class="anchor" id="ga23bfe4460cf1d2391de4ff2b59d64486"></a><!-- doxytag: member="glm::tan" ref="ga23bfe4460cf1d2391de4ff2b59d64486" 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>
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<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</a> </dd></dl>
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<a class="anchor" id="ga9afc7bd03a65a2d77bc25971cc166b11"></a><!-- doxytag: member="glm::tanh" ref="ga9afc7bd03a65a2d77bc25971cc166b11" 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>
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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</a> </dd></dl>
</div>
</div>
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