Complex Numbers

Complex Numbers

If

then

This is De Moivre's Theorem

Also

then

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 form

Square/Cube root the number

r=modulus

θ=argument

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