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| − | <div style="font-size:30px">'''IMDIV(z1,z2)'''</div><br/> | + | <div style="font-size:30px">'''IMDIV(ComplexNumber1,ComplexNumber2)'''</div><br/> |
| − | *<math>z1</math> and <math>z2</math> are complex numbers. | + | *<math>ComplexNumber1</math> and <math>ComplexNumber2</math> are in the form of a+bi. |
| | + | |
| | ==Description== | | ==Description== |
| | + | |
| | *This function gives the division of two complex numbers. | | *This function gives the division of two complex numbers. |
| | *This function used to remove the <math>i</math> (imaginary unit) from the denominator. | | *This function used to remove the <math>i</math> (imaginary unit) from the denominator. |
| − | *<math>z1,z2</math> are the two complex numbers in the form of <math>z1=a+ib</math> and <math>z2=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>. | + | *<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 the steps: | | *To do the division of complex number we have follow the steps: |
| | step 1: Write the complex number in the fraction form. | | step 1: Write the complex number in the fraction form. |
| | step 2: Find the conjugate of the denominator. | | step 2: Find the conjugate of the denominator. |
| | step 3: Multiply the numerator and denominator with conjugate. | | step 3: Multiply the numerator and denominator with conjugate. |
| − | :<math>IMDIV(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> | + | :<math>IMDIV(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]]. |
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| | + | ==ZOS Section== |
| | + | *The syntax is to calculate the IMDIV in ZOS is <math>IMDIV(ComplexNumber1,ComplexNumber2)</math>. |
| | + | **<math>ComplexNumber1</math> and <math>ComplexNumber2</math> are in the form of a+bi. |
| | + | *For e.g.,IMDIV("3+2i","3-2i") |
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| | ==Examples== | | ==Examples== |