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Quiz

Lesson 1: Complex Numbers in Trigonometric and Exponential Form and De Moivres Theorem — Picture questions (exam style)

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  • Questions count: 7
  • Passing grade: 60%
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1.
If ω is a non-real cube root of unity, what is (1 + ω)39?
If ω is a non-real cube root of unity, what is (1 + ω)^39?
−ω
−1
−ω2
ω
2.
By de Moivre’s theorem, what is |z3|?
By de Moivre’s theorem, what is |z^3|?
124.7
10.39
41.57
12
3.
By de Moivre’s theorem, what is |z2|?
By de Moivre’s theorem, what is |z^2|?
3.464
6
3
1.732
4.
By de Moivre’s theorem, what is |z2|?
By de Moivre’s theorem, what is |z^2|?
18
3
9
6
5.
By de Moivre’s theorem, what is |z3|?
By de Moivre’s theorem, what is |z^3|?
1
1.74
3
2.11
6.
By de Moivre’s theorem, what is |z3|?
By de Moivre’s theorem, what is |z^3|?
5.196
15.59
9.041
3
7.
By de Moivre’s theorem, what is |z4|?
By de Moivre’s theorem, what is |z^4|?
9
5.196
36
6.928
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