Complex Numbers Yr 2 Flashcards
1
Q
What is De Moivre’s Theorem?
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2
Q
Prove De Moivre’s Theorem by induction
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3
Q
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4
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5
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6
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7
Q
What is the equation to the roots of z^n =1
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8
Q
How are the nth roots of unity shown on a complex number diagram?
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9
Q
What is the sum of the roots of unity?
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Always = 0
10
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11
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12
Q
What is the equation of roots of any complex number?
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13
Q
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14
Q
Derive the equation for the nth roots of unity
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15
Q
Derive the formula of equation for complex roots of any complex number
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16
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17
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18
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19
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20
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21
Q
What is the form of e^i°?
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22
Q
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23
Q
What is Euler’s identity?
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24
Q
What are the two important identities for sin and cos ?
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25
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26
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27
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28
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29
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30
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31
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33
Q
Derive the nth roots of unity formula
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34
Q
General nth roots of unity formula
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35
Q
A
.
36
Q
Derive the nth roots for any complex number formula
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37
Q
What is the general formula for the nth roots of any complex number ?
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39
Q
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40
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41
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42
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43
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44
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45
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46
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47
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48
Q
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49
Q
Complete the identities
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