Complex Multiplication
Polar or Exponential Representation of z
Consider the Taylor Series for the functions:
Then using in radian measure
and .
Note: When this equation demonstrates that . Complex Multiplication: Algebraically: If and then . Example: If then . It is easier to understand complex multiplication geometrically using the polar or the exponential representation (in radian measure) and the addition formulae for trigonometric functions: or more simply using in radian measure:Example: If then