Polar Coordinates And Complex Numbers Worksheets With Answers - Math 611b Page 24
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50Products and Quotients of Complex Numbers in Polar Form Worksheet (9.7)
1. Explain how to find the quotient of two complex numbers in polar form.
2. List which operations with complex numbers you think are easier in rectangular form and which you
think are easier in polar form. Defend your choices with examples.
3. Find each product or quotient. Express the result in rectangular form.
π
π
π
π
2
2
+
÷
+
3
(cos
i
sin
)
4
(cos
i
sin
)
a)
6
6
3
3
π
π
π
π
1
5
5
+
⋅
+
(cos
i
sin
)
6
(cos
i
sin
)
b)
2
3
3
6
6
π
π
11
11
+ j
4. Determine the voltage in a circuit when there is a current of
amps and an
2
(cos
sin
)
6
6
π
π
+ j
3
cos(
sin
)
impedance of
ohms.
3
3
5. Find each product or quotient. Express the result in rectangular form.
π
π
π
π
3
3
+
÷
+
6
(cos
i
sin
)
2
(cos
i
sin
)
a)
4
4
4
4
π
π
3
3
π
π
+
⋅
+
5
(cos
i
sin )
2
(cos
i
sin
)
b)
4
4
π
π
π
π
7
7
+
÷
+
3
(cos
i
sin
)
(cos
i
sin
)
c)
3
3
2
2
π
π
π
π
7
7
2
3
3
+
÷
+
2
(cos
i
sin
)
(cos
i
sin
)
d)
4
4
2
4
4
−
+
−
÷
+
4
[cos(
2
)
i
sin(
2
)]
(cos .
3 6
i
sin . )
3 6
e)
π
π
π
π
3
3
+
⋅
+
2
(cos
i
sin
)
2
(cos
i
sin
)
f)
4
4
2
2
π
π
π
π
5
5
1
z
=
+
=
+
1
z
4
(cos
i
sin
)
z
(cos
i
sin
)
6. If
and
, find
and express the
1
2
3
3
2
3
3
z
2
result in rectangular form.
24
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education