1. Precalculus
9-7 Products and Quotients of Complex Numbers in Polar Form
Formula for the Product of Complex Numbers in Polar Form:
7π 7π 2π 2π
EX1: Find the product 3 cos + ισιν γ2 χοσ + ι σιν . Then express the
6 6 3 3
product in rectangular form.
Quotient of Complex Numbers in Polar Form:
Note:
• The modulus of the quotient is the _____________________ of the original two
moduli.
• The amplitude of the quotient is the ______________________ of the amplitudes.
2. π π 3π 3π
EX2: Find the quotient 12 cos + ι σ ÷ 4 χοσ + ι σ
ιν ιν . Then express the
4 4 2 2
quotient in rectangular form.
HW p. 596 (10 – 18 even)