CP2 Flashcards

1
Q

2cos theta

A

z + 1/z

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2
Q

2isin theta

A

z-1/z

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3
Q

2cosn theta

A

z ^n + 1/z^n

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4
Q

2isinn theta

A

z^n-1/z^n

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5
Q

eulers relation

A

e^itheta = cos theta + isin theta

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6
Q

exponential form

A

re ^i theta
r = modulus
theta = argument

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7
Q

argument in positive quadrant

A

theta

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8
Q

argument in positive x negative y quadrant

A

-theta

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9
Q

argument in negative x positive y quadrant

A

pi - theta

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10
Q

argument in negative x negative y quadrant

A

-(pi-theta)

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11
Q

sum to infinity of wz^r

A

w/(1-z)

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12
Q

sum to (n-1) of wz^r

A

w(z^n-1) / z-1

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