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Created page with "<div style="font-size:30px">'''IMTANH(iz)'''</div><br/> * where iz is the complex number ==Description== *This function gives the hyperbolic TAN value of a complex number. ..."
<div style="font-size:30px">'''IMTANH(iz)'''</div><br/>
* where iz is the complex number
==Description==
*This function gives the hyperbolic TAN value of a complex number.
*Where 'iz' is the complex number in the form of <math>x+iy</math>
*x & y are the real numbers.
*'i' is the imaginary unit <math>i=\sqrt{-1}</math>
*Also x is called the real part & y is the imaginary part of a complex number.
*[[Manuals/calci/COMPLEX| COMPLEX]] is the function used to convert Real & Imaginary numbers in to a complex number.
*<math>tanh(x+iy)</math> is defined by <math>tanh(x+iy)=(tanh(x)+itan(y))/(1+itanh(x).tan(y))</math>
== Examples ==
'''IMTANH(iz)'''
*'''iz''' is the complex number.
{|id="TABLE1" class="SpreadSheet blue"
|- class="even"
|'''IMTANH(iz)'''
|'''Value'''
|- class="odd"
| IMTANH("6+4i")
| 1.000001787893904+i0.000012157676058702422
|- class="even"
| IMTANH("6-8i")
| 1.000011768189405+i0.0000035379198641842196
|- class="odd"
| IMTANH("10")
| 0.9999999958776926+i0
|}
==Related Videos==
{{#ev:youtube|gkW9PxDvKKk|280|center|Trigonometric Form of Complex Numbers}}
==See Also==
*[[Manuals/calci/COMPLEX| COMPLEX]]
*[[Manuals/calci/IMTAN| IMTAN]]
*[[Manuals/calci/IMSIN| IMSIN]]
*[[Manuals/calci/IMCOS| IMCOS]]
==References==
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
*[https://en.wikibooks.org/wiki/Trigonometry/Functions_of_complex_variables Functions of complex variables]
*[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function]
*[[Z_API_Functions | List of Main Z Functions]]
*[[ Z3 | Z3 home ]]
* where iz is the complex number
==Description==
*This function gives the hyperbolic TAN value of a complex number.
*Where 'iz' is the complex number in the form of <math>x+iy</math>
*x & y are the real numbers.
*'i' is the imaginary unit <math>i=\sqrt{-1}</math>
*Also x is called the real part & y is the imaginary part of a complex number.
*[[Manuals/calci/COMPLEX| COMPLEX]] is the function used to convert Real & Imaginary numbers in to a complex number.
*<math>tanh(x+iy)</math> is defined by <math>tanh(x+iy)=(tanh(x)+itan(y))/(1+itanh(x).tan(y))</math>
== Examples ==
'''IMTANH(iz)'''
*'''iz''' is the complex number.
{|id="TABLE1" class="SpreadSheet blue"
|- class="even"
|'''IMTANH(iz)'''
|'''Value'''
|- class="odd"
| IMTANH("6+4i")
| 1.000001787893904+i0.000012157676058702422
|- class="even"
| IMTANH("6-8i")
| 1.000011768189405+i0.0000035379198641842196
|- class="odd"
| IMTANH("10")
| 0.9999999958776926+i0
|}
==Related Videos==
{{#ev:youtube|gkW9PxDvKKk|280|center|Trigonometric Form of Complex Numbers}}
==See Also==
*[[Manuals/calci/COMPLEX| COMPLEX]]
*[[Manuals/calci/IMTAN| IMTAN]]
*[[Manuals/calci/IMSIN| IMSIN]]
*[[Manuals/calci/IMCOS| IMCOS]]
==References==
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
*[https://en.wikibooks.org/wiki/Trigonometry/Functions_of_complex_variables Functions of complex variables]
*[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function]
*[[Z_API_Functions | List of Main Z Functions]]
*[[ Z3 | Z3 home ]]