Complex numbers 2

1
Complex numbers (2)

• Products and quotients in polar form
• Equating real and imaginary parts

2
Trig addition identities
We will be using these to find the product of two
complex numbers in polar form.
3
Multiplying two complex numbers in modulus
argument form
So, to find the product of two complex numbers,
multiply their modulii and add their arguments.
4
Dividing two complex numbers in modulus argument
form
So, to find the quotient of two complex numbers,
divide their modulii and subtract their arguments.
5
Equating real and imaginary parts
We looked at simplifying the following using a
similar method to rationalising the denominator.
6
Equating real and imaginary parts
We can use a different method to do this..