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<?xml version="1.0" encoding="UTF-8"?>
<helpdocument version="1.0">
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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<meta>
<topic id="textscalc01func_imsechxml">
<title id="tit" xml-lang="en-US">IMSECH function</title>
<filename>/text/scalc/01/func_imsech.xhp</filename>
</topic>
</meta>
<body>
<section id="imsech_function">
<bookmark xml-lang="en-US" branch="hid/SC_HID_AAI_FUNC_IMSECH" id="bm_id26161120602354" localize="false"/>
<bookmark xml-lang="en-US" branch="index" id="bm_id220201324724579">
<bookmark_value>IMSECH function</bookmark_value>
<bookmark_value>hyperbolic secant;complex number</bookmark_value>
</bookmark>
<paragraph id="hd_id258933143113817" role="heading" level="2" xml-lang="en-US">
<variable id="imsech_head">
<link href="text/scalc/01/func_imsech.xhp">IMSECH</link>
</variable> function
</paragraph>
<paragraph id="par_id116441182314950" role="paragraph" xml-lang="en-US">
<ahelp hid=".">
<variable id="imsech_des">Returns the hyperbolic secant of a complex number. </variable> The hyperbolic secant of a complex number can be expressed by:
</ahelp>
</paragraph>
</section>
<paragraph id="par_id74572850718840" role="code" xml-lang="en-US">
<image id="img_id8983315386682" src="media/helpimg/sc_func_imsech.png">
<alt xml-lang="en-US" id="alt_id9157586510683">
sech(a+bi)=1/cosh(a+bi)
</alt>
</image>
</paragraph>
<embed href="text/scalc/01/ful_func.xhp#func_im_des"/>
<embed href="text/scalc/01/ODFF.xhp#odff"/>
<embed href="text/scalc/01/ful_func.xhp#func_head_syntax"/>
<paragraph id="par_id17253876723855" role="code" xml-lang="en-US">
IMSECH(Complex_number)
</paragraph>
<paragraph id="par_id31259109804356" role="paragraph" xml-lang="en-US">
Complex_number is a complex number whose hyperbolic secant needs to be calculated.
</paragraph>
<paragraph id="par_id127061438920586" role="note" localize="false" xml-lang="en-US">
<embedvar href="text/scalc/01/ful_func.xhp#func_im_comp_numb"/><br />
<embedvar href="text/scalc/01/ful_func.xhp#func_im_real_numb"/>
</paragraph>
<paragraph id="par_id29294203464584" role="warning" localize="false" xml-lang="en-US">
<embedvar href="text/scalc/01/ful_func.xhp#func_im_return_text"/><br />
<embedvar href="text/scalc/01/ful_func.xhp#func_im_ignor_zero"/>
</paragraph>
<embed href="text/scalc/01/ful_func.xhp#func_head_example"/>
<paragraph id="par_id1906826088444" role="paragraph" xml-lang="en-US">
<item type="input">=IMSECH("4-3i")</item><br/>
returns -0.0362534969158689+0.00516434460775318i.
</paragraph>
<paragraph id="par_id247492030016627" role="paragraph" xml-lang="en-US">
<item type="input">=IMSECH(2)</item><br/>
returns 0.26580222883408 as a string. <embedvar href="text/scalc/01/ful_func.xhp#func_imag_zero"/>
</paragraph>
<section id="relatedtopics">
<paragraph id="par_id26960257451996" role="paragraph" localize="false" xml-lang="en-US">
<embedvar href="text/scalc/01/func_imcsc.xhp#imcsc_head"/>,
<embedvar href="text/scalc/01/func_imcsch.xhp#imcsch_head"/>,
<embedvar href="text/scalc/01/func_imsec.xhp#imsec_head"/>
</paragraph>
</section>
</body>
</helpdocument>
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