AnswersPrecalculusPolar Form of Complex Numbers

Polar Form of Complex Numbers Answers

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Review the graph of complex number z.

Question illustration
A
5 (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) )
Option A
B
5 StartRoot 2 EndRoot (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) )
Option B
C
5 (cosine (negative StartFraction pi Over 4 EndFraction) + I sine (negative StartFraction pi Over 4 EndFraction) )
Option C
D
5 StartRoot 2 EndRoot (cosine (negative StartFraction pi Over 4 EndFraction) + I sine (negative StartFraction pi Over 4 EndFraction) )
Option D
3

What is the polar form of ?

Question illustration
A
18(cos(120°) + isin(120°))
B
18(cos(150°) + isin(150°))
C
324(cos(120°) + isin(120°))
D
324(cos(150°) + isin(150°))
4

For the complex number z = 12 + i, what is ?

Question illustration
A
12 – i
B
12 + i
C
–12 – i
D
–12 + i

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