Polar Form Of Complex Numbers Worksheet With Answer Key - Openstax College Page 15
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25OpenStax-CNX module: m49408
15
10.2 Algebraic
For the following exercises, nd the absolute value of the given complex number.
Exercise 25
5 + 3i
Exercise 26
(Solution on p. 19.)
7 + i
Exercise 27
3
3i
Exercise 28
(Solution on p. 19.)
2
6i
Exercise 29
2i
Exercise 30
(Solution on p. 19.)
2.2
3.1i
For the following exercises, write the complex number in polar form.
Exercise 31
2 + 2i
Exercise 32
(Solution on p. 19.)
8
4i
Exercise 33
1
1
i
2
2
Exercise 34
(Solution on p. 19.)
3 + i
Exercise 35
3i
For the following exercises, convert the complex number from polar to rectangular form.
Exercise 36
(Solution on p. 19.)
π
z = 7cis
6
Exercise 37
π
z = 2cis
3
Exercise 38
(Solution on p. 19.)
7π
z = 4cis
6
Exercise 39
z = 7cis (25 )
Exercise 40
(Solution on p. 19.)
z = 3cis (240 )
Exercise 41
z =
2cis (100 )
z
z
For the following exercises, nd
2 in polar form.
1
Exercise 42
(Solution on p. 19.)
z
= 2 3cis (116 ) ; z
= 2cis (82 )
1
2
Exercise 43
z
=
2cis (205 ) ; z
= 2 2cis (118 )
1
2
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