DeMoivre's Theorem

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Issue:

Miscellaneous

 

Written by:

Cheryl G

 

Date added:

August 7, 2017

 

Level:

High school

 

Grade:

B

 

No of pages / words:

1 / 101

 

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5545 times

 

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Essay content:

In order to use the theorem to find the nth roots of a complex number, one must convert the complex number a + bi into its polar form: r (cos x + sin x), where r is the modulus of a + bi and r = ?aa2 + b2 . If z = r (cos ?? + i sin ??), then it will have n diverse nth roots, shown as: (for k = 0,1,2,?c,n-1)...
displayed 300 characters

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In order to use the theorem to find the nth roots of a complex number, one must convert the complex number a + bi into its polar form: r (cos x + sin x), where r is the modulus of a + bi and r = ?aa2 + b2 . If z = r (cos ?? + i sin ??), then it will have n diverse nth roots, shown as: (for k = 0,1,2,?c,n-1)...
displayed next 300 characters

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