3.3 Complex Numbers

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Complex values

We can also show complex numbers graphically. These representations lead to alternative representations. If it is not obvious above, please consider the notation uses a cartesian notation, but a polar notation can also be very useful when doing large calculations.

We can also do calculations using polar notation (this is well suited to multiplication and division, whereas cartesian notation is easier for addition and subtraction),

Note that DeMoivre's theorem can be used to find exponents (including roots) of complex numbers

Euler's formula:

From the above, the following useful identities arise:

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