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<h1 id="hd_id124691246912469" dir="auto">
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IMCOSH
function
</h1>
<p id="par_id125881258812588" class="paragraph" dir="auto">
<span class="avis">
<a name="imcosh_des"></a>Returns the hyperbolic cosine of a complex number. The hyperbolic cosine of a complex number can be expressed by:
</span>
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<p id="par_id24939266285933" class="paragraph" dir="auto">
<img src="media/helpimg/sc_func_imcosh.svg" class="genericimage" alt="IMCOSH equation" style="width:464.56109px;height:31.5px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject">
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<p id="par_id29750345314640" class="paragraph" dir="auto">The result is presented in the string format and has the character "i" or "j" as an imaginary unit.</p>
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<div class="notetext"><p id="hd_id1000010" dir="auto">This function is part of the Open Document Format for Office Applications (OpenDocument) standard Version 1.2. (ISO/IEC 26300:2-2015)</p></div>
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<div class="notetext"><p id="par_id651551401041636" dir="auto">This function is available since LibreOffice 3.6.</p></div>
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<h3 id="hd_id126511265112651" dir="auto">Syntax</h3>
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<p id="par_id16051131322110" class="code" dir="auto">
IMCOSH(Complex_number)
</p>
<p id="par_id766137661376613" class="paragraph" dir="auto">
Complex_number is a complex number whose hyperbolic cosine is to be calculated.
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A <span class="emph">complex number</span> is a string expression resulting in the form "a+bi" or "a+bj", where a and b are numbers.<br>
If the <span class="emph">complex number</span> is actually a real number (b=0), then it can be either a string expression or a number value.
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The function always returns a string representing a complex number.<br>
If the result is a complex number with one of its parts (a or b) equal to zero, that part is not displayed.
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<h3 id="hd_id980889808898088" dir="auto">Examples</h3>
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<span class="input" data-tooltip="Click on text to copy to clipboard">=IMCOSH("4-3i")</span><br>
returns -27.0349456030742-3.85115333481178i.
</p>
<p id="par_id152561887112896" class="paragraph" dir="auto">
<span class="input" data-tooltip="Click on text to copy to clipboard">=IMCOSH(2)</span><br>
returns 3.76219569108363 as a string. The imaginary part is equal to zero, so it is not displayed in the result.
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<p class="related" itemprop="mentions" dir="auto"><a name="related"></a><span class="emph">Related Topics</span>
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<div class="notetext"><p id="par_id331677015717191" dir="auto"><a target="_blank" href="https://wiki.documentfoundation.org/Documentation/Calc_Functions/IMCOSH">IMCOSH wiki page</a>.</p></div>
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<p id="par_id127621276212762" class="paragraph" dir="auto">
<a target="_top" href="en-US/text/scalc/01/func_imcos.html">IMCOS</a>
,
<a target="_top" href="en-US/text/scalc/01/func_imsin.html">IMSIN</a>
,
<a target="_top" href="en-US/text/scalc/01/func_imsinh.html">IMSINH</a>
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