Difference between revisions of "Manuals/calci/IMCOS"
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| − | <div | + | <div style="font-size:30px">'''IMCOS (ComplexNumber)'''</div><br/> |
| + | * where 'ComplexNumber' is any complex number of the form x+iy. | ||
| + | **IMCOS(), returns the cosine of a complex number. | ||
| − | + | ==Description== | |
| − | |||
| − | </ | + | *This function gives the cos value of any complex Number. |
| − | - | + | *Consider the complex number in the form of <math>x+iy</math> |
| − | < | + | *x & y are the real number |
| + | *'i' is the imaginary unit <math>i=\sqrt{-1}</math> | ||
| + | *Also x is called the real part & y is the imaginary patr of a complex number. | ||
| + | *[[Manuals/calci/COMPLEX| COMPLEX]] is the function used to convert Real & Imaginary numbers in to a complex number. | ||
| + | *<math>cos(x+iy)</math> is defined by <math>cos(x+iy)=cos(x)cosh(y)-isin(x)sinh(y)</math> | ||
| − | IMCOS | + | == Examples == |
| + | '''IMCOS(ComplexNumber)''' | ||
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| − | + | {|id="TABLE1" class="SpreadSheet blue" | |
| − | + | |- class="even" | |
| + | |'''IMCOS(ComplexNumber)''' | ||
| + | |'''Value''' | ||
| + | |||
| + | |- class="odd" | ||
| + | | IMCOS("2+3i") | ||
| + | | -4.189625690968806-ⅈ9.109227893755335 | ||
| + | |||
| + | |- class="even" | ||
| + | | IMCOS("2-3i") | ||
| + | | -4.189625690968806+ⅈ9.109227893755335 | ||
| + | |||
| + | |- class="odd" | ||
| + | | IMCOS("2") | ||
| + | | -0.4161468365471424+ⅈ0 | ||
| + | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|gkW9PxDvKKk|280|center|Trigonometric Form of Complex Numbers}} | ||
| + | |||
| + | ==See Also== | ||
| − | + | *[[Manuals/calci/COS| COS]] | |
| − | + | *[[Manuals/calci/COMPLEX| COMPLEX]] | |
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| − | + | ==References== | |
| − | + | ||
| − | + | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | |
| + | *[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] | ||
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| − | + | *[[Z_API_Functions | List of Main Z Functions]] | |
| − | + | *[[ Z3 | Z3 home ]] | |
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Latest revision as of 16:25, 19 July 2018
IMCOS (ComplexNumber)
- where 'ComplexNumber' is any complex number of the form x+iy.
- IMCOS(), returns the cosine of a complex number.
Description
- This function gives the cos value of any complex Number.
- Consider the complex number in the form of
- x & y are the real number
- 'i' is the imaginary unit
- Also x is called the real part & y is the imaginary patr of a complex number.
- COMPLEX is the function used to convert Real & Imaginary numbers in to a complex number.
- is defined by
is defined by 
Examples
IMCOS(ComplexNumber)
| IMCOS(ComplexNumber) | Value |
| IMCOS("2+3i") | -4.189625690968806-ⅈ9.109227893755335 |
| IMCOS("2-3i") | -4.189625690968806+ⅈ9.109227893755335 |
| IMCOS("2") | -0.4161468365471424+ⅈ0 |
Related Videos
See Also
References