Complex Numbers Worksheet With Answers Page 5
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10a) 1 + i√3
Product of Two Complex Numbers in Polar form:
Find the products of the following:
Let
z
= r
(cosθ
+
i sinθ )
1
1
1
1
and
o
o
and
z
= r
(cosθ
+
i sinθ )
A)
z
= 6
(cos40
+
i sin40 )
1
2
2
2
2
o
o
z
= 5
(cos20
+
i sin20 )
be two complex numbers of polar form.
2
Then their product can be found using the
formula:
z
• z
=
r r [cos(θ
+ θ
)
+ i
sin(θ
+ θ
) ]
1
2
1 2
1
2
1
2
Find the product:
o
o
and
z
= 7
(cos100
+
i sin100 )
o
o
A)
z
= 4
(cos50
+
i sin50 )
2
1
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