Polar Form Of Complex Numbers Worksheet With Answer Key - Openstax College Page 19
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25OpenStax-CNX module: m49408
19
Solution to Exercise (p. 14)
x = rcosθ
y =
Polar form converts the real and imaginary part of the complex number in polar form using
and
rsinθ.
Solution to Exercise (p. 14)
n
n
z
= r
(cos (nθ) + isin (nθ))
It is used to simplify polar form when a number has been raised to a power.
Solution to Exercise (p. 15)
5 2
Solution to Exercise (p. 15)
38
Solution to Exercise (p. 15)
14.45
Solution to Exercise (p. 15)
4 5cis (333.4 )
Solution to Exercise (p. 15)
π
2cis
6
Solution to Exercise (p. 15)
7 3
7
+ i
2
2
Solution to Exercise (p. 15)
2 3
2i
Solution to Exercise (p. 15)
3 3
1.5
i
2
Solution to Exercise (p. 15)
4 3cis (198 )
Solution to Exercise (p. 15)
3
cis (180 )
4
Solution to Exercise (p. 16)
17π
5 3cis
24
Solution to Exercise (p. 16)
7cis (70 )
Solution to Exercise (p. 16)
5cis (80 )
Solution to Exercise (p. 16)
π
5cis
3
Solution to Exercise (p. 16)
125cis (135 )
Solution to Exercise (p. 16)
9cis (240 )
Solution to Exercise (p. 16)
3π
cis
4
Solution to Exercise (p. 16)
3cis (80 ) , 3cis (200 ) , 3cis (320 )
Solution to Exercise (p. 16)
2π
8π
14π
3
3
3
2
4cis
, 2
4cis
, 2
4cis
9
9
9
Solution to Exercise (p. 16)
7π
15π
2 2cis
, 2 2cis
8
8
Solution to Exercise (p. 17)
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