Difference between revisions of "Manuals/calci/IMSIN"
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| − | <div style="font-size:30px">'''IMSIN( | + | <div style="font-size:30px">'''IMSIN (ComplexNumber) '''</div><br/> |
| − | * | + | *<math>ComplexNumber</math> is any complex number of the form x+iy. |
| + | **IMSIN(),returns the sine of a complex number. | ||
| + | |||
==Description== | ==Description== | ||
| − | + | *This function gives the sin value of any complex number. | |
| − | *This function gives the sin value of | + | *Consider the complex number in the form of <math>x+iy</math> |
| − | * | ||
*x & y are the real numbers. | *x & y are the real numbers. | ||
| − | *' 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 part of a complex number. | *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>sin(x+iy)</math> is defined by <math>sin(x+iy)=sin(x)cosh(y)-icos(x)sinh(y)</math> | *<math>sin(x+iy)</math> is defined by <math>sin(x+iy)=sin(x)cosh(y)-icos(x)sinh(y)</math> | ||
== Examples == | == Examples == | ||
| − | '''IMSIN( | + | '''IMSIN (ComplexNumber)''' |
| − | *''' | + | *'''ComplexNumber''' is any complex number. |
{|id="TABLE1" class="SpreadSheet blue" | {|id="TABLE1" class="SpreadSheet blue" | ||
|- class="even" | |- class="even" | ||
| − | |'''IMSIN( | + | |'''IMSIN(ComplexNumber)''' |
| − | |'''Value | + | |'''Value''' |
|- class="odd" | |- class="odd" | ||
| IMSIN("4+5i") | | IMSIN("4+5i") | ||
| − | | -56. | + | | -56.16227422023234-ⅈ48.5024552417709 |
|- class="even" | |- class="even" | ||
| IMSIN("4-5i") | | IMSIN("4-5i") | ||
| − | | 56. | + | | -56.16227422023234+ⅈ48.5024552417709 |
|- class="odd" | |- class="odd" | ||
| IMSIN("4") | | IMSIN("4") | ||
| − | | 0. | + | | -0.7568024953079282+ⅈ0 |
|} | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|gkW9PxDvKKk|280|center|Trigonometric Form of Complex Numbers}} | ||
==See Also== | ==See Also== | ||
| Line 45: | Line 50: | ||
*[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 14:49, 18 July 2018
IMSIN (ComplexNumber)
- is any complex number of the form x+iy.
- IMSIN(),returns the sine of a complex number.
is any complex number of the form x+iy.
Description
- This function gives the sin value of any complex number.
- Consider the complex number in the form of
- x & y are the real numbers.
- 'i' is the imaginary unit
- 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.
- is defined by
is defined by 
Examples
IMSIN (ComplexNumber)
- ComplexNumber is any complex number.
| IMSIN(ComplexNumber) | Value |
| IMSIN("4+5i") | -56.16227422023234-ⅈ48.5024552417709 |
| IMSIN("4-5i") | -56.16227422023234+ⅈ48.5024552417709 |
| IMSIN("4") | -0.7568024953079282+ⅈ0 |
Related Videos
See Also
References