AnswersPGHS Precalculus BPowers and Roots of Complex NumbersQuestion 10
10
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Powers and Roots of Complex Numbers

Question 10 • *PGHS Precalculus B

Suppose z = . What is z4?

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Answer
A
1cosine ( StartFraction 2pi over 12 EndFraction) plus i sine (StartFraction 2pi over 12 EndFraction)
Option A
B
1cosine ( StartFraction 8pi over 3 EndFraction) plus i sine (StartFraction 8pi over 3 EndFraction)
Option B
C
4 (cosine ( StartFraction 2pi over 12 EndFraction) plus i sine (StartFraction 2pi over 12 EndFraction))
Option C
D
4 (cosine ( StartFraction 8pi over 3 EndFraction) plus i sine (StartFraction 8pi over 3 EndFraction))
Option D
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