9.7 PRODUCTS AND QUOTIENTS OF COMPLEX NUMBERS IN POLAR FORMBy the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.
Products and quotients of complex numbers in Rectangular form
By the end of the section students will be able to simplify complex numbers, graph complex numbers and convert complex numbers from polar to rectangular form and vice versa as evidenced by an exit slip.
π π ππππ
ππππ π
ππ πππ ππ
Real parts
Imaginary parts
Products of Complex numbers in Polar Form
**You will NOT be given this formula
By the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.
Quotients of Complex numbers in Polar Form
β’ The process is similar but we need to use the conjugate and multiple top and bottom by
**You will NOT be given this formula
By the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.
Example 1: Find the product/quotient, then express in polar and rectangular formA.
By the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.
ππ βπ ππππ (π½ΒΏΒΏπ+π½π)ΒΏππ
πππππ (π½ΒΏΒΏπβπ½π)ΒΏ
β1
β3 260 Β°
B.
C.
By the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.
ππ βπ ππππ (π½ΒΏΒΏπ+π½π)ΒΏ
β1β3
230 Β°
β2ββ2
245 Β°
Example 1: Find the product/quotient, then express in polar and rectangular form
ππ
πππππ (π½ΒΏΒΏπβπ½π)ΒΏ
D.
E.
By the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.
ππ βπ ππππ (π½ΒΏΒΏπ+π½π)ΒΏ
β1
β3 260 Β°
β2β22
45 Β°
Example 1: Find the product/quotient, then express in polar and rectangular form
ππ
πππππ (π½ΒΏΒΏπβπ½π)ΒΏ
F.
G.
By the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.
ππ βπ ππππ (π½ΒΏΒΏπ+π½π)ΒΏExample 1: Find the product/quotient, then express in polar and rectangular form
ππ
πππππ (π½ΒΏΒΏπβπ½π)ΒΏ
H.
I.
By the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.
ππ βπ ππππ (π½ΒΏΒΏπ+π½π)ΒΏ
β2ββ2
245 Β°
β1ββ3
230 Β°
Example 1: Find the product/quotient, then express in polar and rectangular form
ππ
πππππ (π½ΒΏΒΏπβπ½π)ΒΏ
Summary1. Find the product and write in polar form AND
rectangular form: 2. Find the quotient and write in polar form AND
rectangular form:
By the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.
Summary1. Find the product and write in polar form AND
rectangular form:
2. Find the quotient and write in polar form AND rectangular form:
By the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.
By the end of this section students will be able to multiply and divide complex numbers in polar form as evidenced by a pair share activity.