3.3 Complex Numbers

 

 

• 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:

 

 

 

• In Scilab