Difference between revisions of "Documentation/How Tos/Calc: IMSECH function"

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{{Documentation/MasterTOC
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{{DISPLAYTITLE:IMSECH function}}
|bookid=1234'''
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{{Documentation/CalcFunc ComplexNumberTOC
|booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">CALC FUNCTIONS</div>
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|PrevPage=Documentation/How_Tos/Calc:_IMSEC_function
|parttitle=[[Documentation/How_Tos/Calc:_Complex_Number_functions|<div  style="font-size: 140%;">Complex Number Functions]]
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|NextPage=Documentation/How_Tos/Calc:_IMSIN_function
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}}__NOTOC__
|NextPage= Documentation/How_Tos/Calc:_IMSIN_function
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|PrevPage= Documentation/How_Tos/Calc:_IMSEC_function
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|PrevPart= Documentation/How_Tos/Calc:_Array_functions
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|NextPart= Documentation/How_Tos/Calc:_Database_functions
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|toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div>
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* [[Documentation/How_Tos/Calc:_COMPLEX_function|<div style="font-size: 120%;">Complex]]
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* [[Documentation/How_Tos/Calc:_IMABS_function|<div style="font-size: 120%;">Imabs]]
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* [[Documentation/How_Tos/Calc:_IMAGINARY_function|<div style="font-size: 120%;">Imaginary]]
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* [[Documentation/How_Tos/Calc:_IMARGUMENT_function|<div style="font-size: 120%;">Imargument]]
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* [[Documentation/How_Tos/Calc:_IMCONJUGATE_function|<div style="font-size: 120%;">Imconjugate]]
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* [[Documentation/How_Tos/Calc:_IMCOS_function|<div style="font-size: 120%;">Imcos]]
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* [[Documentation/How_Tos/Calc:_IMCOSH_function|<div style="font-size: 120%;">Imcosh]]
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* [[Documentation/How_Tos/Calc:_IMCSC_function|<div style="font-size: 120%;">Imcsc]]
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* [[Documentation/How_Tos/Calc:_IMCSCH_function|<div style="font-size: 120%;">Imcsch]]
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* [[Documentation/How_Tos/Calc:_IMCOT_function|<div style="font-size: 120%;">Imcot]]
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* [[Documentation/How_Tos/Calc:_IMDIV_function|<div style="font-size: 120%;">Imdiv]]
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* [[Documentation/How_Tos/Calc:_IMEXP_function|<div style="font-size: 120%;">Imexp]]
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* [[Documentation/How_Tos/Calc:_IMLN_function|<div style="font-size: 120%;">Imln]]
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* [[Documentation/How_Tos/Calc:_IMLOG10_function|<div style="font-size: 120%;">Imlog10]]
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* [[Documentation/How_Tos/Calc:_IMLOG2_function|<div style="font-size: 120%;">Imlog2]]
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* [[Documentation/How_Tos/Calc:_IMPOWER_function|<div style="font-size: 120%;">Impower]]
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* [[Documentation/How_Tos/Calc:_IMPRODUCT_function|<div style="font-size: 120%;">Improduct]]
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* [[Documentation/How_Tos/Calc:_IMREAL_function|<div style="font-size: 120%;">Imreal]]
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* [[Documentation/How_Tos/Calc:_IMSEC_function|<div style="font-size: 120%;">Imsec]]
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* [[Documentation/How_Tos/Calc:_IMSECH_function|<div style="font-size: 120%; border-style: double; border-color:#778899;">Imsech]]
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* [[Documentation/How_Tos/Calc:_IMSIN_function|<div style="font-size: 120%;">Imsin]]
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* [[Documentation/How_Tos/Calc:_IMSINH_function|<div style="font-size: 120%;">Imsinh]]
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* [[Documentation/How_Tos/Calc:_IMSQRT_function|<div style="font-size: 120%;">Imsqrt]]
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* [[Documentation/How_Tos/Calc:_IMSUB_function|<div style="font-size: 120%;">Imsub]]
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* [[Documentation/How_Tos/Calc:_IMSUM_function|<div style="font-size: 120%;">Imsum]]
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* [[Documentation/How_Tos/Calc:_IMTAN_function|<div style="font-size: 120%;">Imtan]]
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}}__TOC__
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==IMSECH==
 
==IMSECH==
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===Syntax===
 
===Syntax===
 
<code>IMSECH( z )</code>
 
<code>IMSECH( z )</code>
: where z is a complex number as described in [[Documentation/How_Tos/Calc:_Complex_Number_functions]]  
+
: where z is a complex number as described in [[Documentation/How_Tos/Calc:_Complex_Number_functions|Complex Number functions]]  
  
 
===Semantics===
 
===Semantics===

Latest revision as of 12:20, 30 January 2024

IMSECH

Returns the hyperbolic secant of a complex number.

Syntax

IMSECH( z )

where z is a complex number as described in Complex Number functions

Semantics

IMSECH( z ) is equivalent to IMDIV(1;IMCOSH( z )).

To get better accuracy it is not implemented that way. With the notation IMCOT("a+bj")="c+dj" the used formulas are

real part
imaginary part

Issues

The function is not implemented in versions before AOO 4.0 and before LibO 3.7.

This function currently appears in the AddIn category of the Function Wizard.



See Also
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