⇒ You can write any complex number in terms of its modulus and argument
⇒ You can use the following rules to multiply complex numbers quickly when they are give in modulus-argument form
⇒ To prove thse results, consider Z1 and Z2 in modulus-argument form:
⇒ This complex number is in modulus-argument form, with modulus r1r2 and argument θ1 + θ2, as required
⇒ You can derive similar results for dividing two complex numbers given in modulus-argument form
⇒ Also see our notes on: