Difference between revisions of "Manuals/calci/IMCOTH"

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<div style="font-size:30px">'''IMCOTH(ComplexNumber)'''</div><br/>
 
<div style="font-size:30px">'''IMCOTH(ComplexNumber)'''</div><br/>
* where <math>ComplexNumber</math> is any complex number.
+
* where <math>ComplexNumber</math> is any complex number of the form x+iy.
  
 
==Description==
 
==Description==

Revision as of 15:30, 19 July 2018

IMCOTH(ComplexNumber)


  • where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ComplexNumber} is any complex number of the form x+iy.

Description

  • This function gives the hyperbolic cotangent (coth) value of a complex number.
  • Consider the complex number is the form of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x+iy}
  • x & y are the real numbers.
  • 'i' is the imaginary unit Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=\sqrt{-1}}
  • Also x is called the real part & y is the imaginary part of a complex number.
  • COMPLEX is the function used to convert Real & Imaginary numbers in to a complex number.
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle coth(x+iy)} is defined by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle coth(x+iy)=cosh(x+iy)/sinh(x+iy)}

Examples

IMCOTH(ComplexNumber)

  • ComplexNumber is any complex number.
IMCOTH(ComplexNumber) Value
IMCOTH("7+4i") 0.9999997580237623-i0.0000016453591929519932
IMCOTH("7-8i") 0.9999984073584316-i7
IMCOTH("3") 1.004969823313689+i0

Related Videos

Trigonometric Form of Complex Numbers

See Also


References