Difference between revisions of "Manuals/calci/IMCOS"
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| − | <div style="font-size:30px">'''IMCOS( | + | <div style="font-size:30px">'''IMCOS (ComplexNumber)'''</div><br/> |
| − | * where ' | + | * where 'ComplexNumber' is any complex number of the form x+iy. |
| + | **IMCOS(), returns the cosine of a complex number. | ||
| + | |||
==Description== | ==Description== | ||
| − | *This function gives the cos value of | + | *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 | *x & y are the real number | ||
*'i' is the imaginary unit <math>i=\sqrt{-1}</math> | *'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. | *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> | *<math>cos(x+iy)</math> is defined by <math>cos(x+iy)=cos(x)cosh(y)-isin(x)sinh(y)</math> | ||
== Examples == | == Examples == | ||
| − | '''IMCOS( | + | '''IMCOS(ComplexNumber)''' |
| − | + | ||
{|id="TABLE1" class="SpreadSheet blue" | {|id="TABLE1" class="SpreadSheet blue" | ||
|- class="even" | |- class="even" | ||
| − | |'''IMCOS( | + | |'''IMCOS(ComplexNumber)''' |
| − | |'''Value | + | |'''Value''' |
|- class="odd" | |- class="odd" | ||
| IMCOS("2+3i") | | IMCOS("2+3i") | ||
| − | | -4. | + | | -4.189625690968806-ⅈ9.109227893755335 |
|- class="even" | |- class="even" | ||
| IMCOS("2-3i") | | IMCOS("2-3i") | ||
| − | | 4. | + | | -4.189625690968806+ⅈ9.109227893755335 |
|- class="odd" | |- class="odd" | ||
| IMCOS("2") | | IMCOS("2") | ||
| − | | 0. | + | | -0.4161468365471424+ⅈ0 |
|} | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|gkW9PxDvKKk|280|center|Trigonometric Form of Complex Numbers}} | ||
==See Also== | ==See Also== | ||
| Line 45: | Line 51: | ||
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | ||
*[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] | *[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] | ||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 15:25, 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