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

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1.
What is the angle between consecutive 5th roots shown?
What is the angle between consecutive 5th roots shown?
36 °
72 °
18 °
90 °
2.
What is the angle between consecutive 5th roots shown?
What is the angle between consecutive 5th roots shown?
36 °
72 °
54 °
126 °
3.
What is the angle between consecutive 6th roots shown?
What is the angle between consecutive 6th roots shown?
30 °
120 °
60 °
0 °
4.
The 5th roots of the number shown are plotted. What is the modulus of each root?
The 5th roots of the number shown are plotted. What is the modulus of each root?
7.579
1.516
1.6
8
5.
The 6th roots of the number shown are plotted. What is the modulus of each root?
The 6th roots of the number shown are plotted. What is the modulus of each root?
10.39
27
1.732
4.5
6.
What is the modulus of the complex number z shown on the Argand diagram?
What is the modulus of the complex number z shown on the Argand diagram?
4.243
9
1.5
3
7.
The 4th roots of the number shown are plotted. What is the modulus of each root?
The 4th roots of the number shown are plotted. What is the modulus of each root?
2
1.682
6.727
8
8.
The 6th roots of the number shown are plotted. What is the modulus of each root?
The 6th roots of the number shown are plotted. What is the modulus of each root?
1.414
1.333
8.485
8
9.
What is the modulus of the complex number z shown on the Argand diagram?
What is the modulus of the complex number z shown on the Argand diagram?
2.828
8
1.414
4.921
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