Complex Numbers

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• Complex Numbers

• Ifthen

• This is De Moivre's Theorem

• Alsothen

• The power becomes a power of the modulus but a multiplier of the argument

• Comparing Parts

• Using Pascal's Triangle

• The equation                       has exactly n roots:Express in the formSquare/Cube root the number

• r=modulusθ=argument

• Remember for additional roots add 2π/360°, 4π/720° before applying De Moivre's Theorem

• Complex 1 (image/png)

• Complex 2 (image/png)

• Complex 3 (image/png)

• Complex 4a (image/png)

• Complex 4b (image/png)

• Complex 5 (image/png)

• Complex 5b (image/png)

• Complex 6a (image/png)

• Complex 6b (image/png)

• Complex 6c (image/png)

• Complex 7 (image/png)

• Complex 7b (image/png)

• Complex 8 (image/png)

• Complex 9 (image/png)

• Complex 1a (image/png)