Complex Numbers Worksheet With Answers Page 6
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1
2
3
4
5
6
7
8
9
10o
o
a) 8(cos150
2
+ i
sin150 )
Quotient of Two Complex Numbers in Polar form:
Find the products of the following:
Let
z
= r
(cosθ
+
i sinθ )
1
1
1
1
and
4π
4π
and
z
= r
(cosθ
+
i sinθ )
A)
z
= 5
0(cos
+
i sin )
1
3
3
2
2
2
2
π
π
z
= 5
(cos
+
i sin )
be two complex numbers of polar form.
2
3
3
Then their product can be found using the
Z
r
formula:
=
[cos(θ
− θ
)
+ i
sin(θ
− θ
) ]
1
1
1
2
1
2
Z
r
2
2
Find the product:
π
π
and
z
= 4
(cos
+
i sin )
3π
3π
A)
z
= 1
2(cos
+
i sin )
2
1
4
4
4
4
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