Swapna: Created page with "
'''IMDIVTWO(ComplexNumber1,ComplexNumber2)'''

* $ComplexNumber1$ and $ComplexNumber2$ are in the form of a+bi. ==D..."

2017-04-19T09:11:18Z

Created page with "<div style="font-size:30px">'''IMDIVTWO(ComplexNumber1,ComplexNumber2)'''</div><br/> *<math>ComplexNumber1</math> and <math>ComplexNumber2</math> are in the form of a+bi. ==D..."

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<div style="font-size:30px">'''IMDIVTWO(ComplexNumber1,ComplexNumber2)'''</div><br/>
*<math>ComplexNumber1</math> and <math>ComplexNumber2</math> are in the form of a+bi.

==Description==

*This function gives the division of two complex numbers.
*<math>ComplexNumber1</math> and <math>ComplexNumber2</math> are in the form of <math>a+ib</math> and <math>c+id</math>, where <math>a,b,c</math> & <math>d</math> are real numbers <math>i</math> is the imaginary unit, <math>i=\sqrt{-1}</math>.
*Let z1 and z2 are the two Complex Numbers.
*To do the division of complex number we have follow three steps:
step 1: Write the complex number in the fraction form.
step 2: Find the conjugate of the denominator.
step 3: Multiply the numerator and denominator with conjugate.
:<math>IMDIVTWO(z1,z2) = \frac{a+ib}{c+id} = \frac{a+ib}{c+id}*\frac{c-id}{c-id} =\frac{ac+bd}{c^2+d^2}+\frac{(bc-ad)i}{(c^2+d^2)}</math>.
*To find the Conjugate of a Complex Number we can use the function [[Manuals/calci/IMCONJUGATE | IMCONJUGATE]].

==ZOS==
*The syntax to calculate the IMDIVTWO in ZOS is <math>IMDIVTWO(ComplexNumber1,ComplexNumber2)</math>.
**<math>ComplexNumber1</math> and <math>ComplexNumber2</math> are in the form of a+bi.
*For e.g.,IMDIVTWO("3+2i","3-2i")

{{#ev:youtube|2I89nee0Gmc|280|center|ImDiv}}

==Examples==
#IMDIVTWO("4+2i","3-i") = 1+i1
#IMDIVTWO("-3-5i","-6i") = 0.8333333333333334-i0.5
#IMDIVTWO("5-2i","2+3i","6+2i") = 0.3076923076923077-i1.4615384615384615
#IMDIVTWO("1+i","-2i") = -0.5+i0.5

==Related Videos==

{{#ev:youtube|Z8j5RDOibV4|280|center|Dividing Complex Numbers}}

==See Also==

*[[Manuals/calci/IMDIV | IMDIV ]]
*[[Manuals/calci/IMPRODUCTTWO | IMPRODUCTTWO ]]
*[[Manuals/calci/COMPLEX | COMPLEX ]]
*[[Manuals/calci/IMAGINARY | IMAGINARY ]]
*[[Manuals/calci/IMREAL | IMREAL ]]

==References==
[http://en.wikipedia.org/wiki/Complex_division Complex Division]

*[[Z_API_Functions | List of Main Z Functions]]

*[[ Z3 | Z3 home ]]

Manuals/calci/IMDIVTWO - Revision history

Swapna: Created page with "'''IMDIVTWO(ComplexNumber1,ComplexNumber2)''' *ComplexNumber1 and ComplexNumber2 are in the form of a+bi. ==D..."

Swapna: Created page with "
'''IMDIVTWO(ComplexNumber1,ComplexNumber2)'''

* $ComplexNumber1$ and $ComplexNumber2$ are in the form of a+bi. ==D..."