pure 2 Flashcards

1
Q

z1z2

A

r1r2e^i(a1+a2)

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2
Q

z1/z2

A

r1/r2 E^i(a1-a2)

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3
Q

r(cosa+isina)^n

A

r^n(cosna+isinna)

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4
Q

z+1/z

A

2cosa

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5
Q

z-1/z

A

2isina

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6
Q

z^n+1/z^n

A

2cosna

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7
Q

z^n-1/z^n

A

2isinna

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8
Q

polar x

A

cos a

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9
Q

polar y

A

sin a

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10
Q

r=a

A

circle centre O rad a

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11
Q

a=alpha

A

halfline

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12
Q

r=alpha a

A

spiral

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13
Q

tangent parallel to intial line

A

dy/da=0

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14
Q

tangent perpendicular to line

A

dx/da=0

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15
Q

sinhx

A

(e^x-e^-x)/2

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16
Q

coshx

A

(e^x+e^-x)/2

17
Q

tanhx

A

(e^(2x)-1)/(e^(2x)+1)

18
Q

arsinhx

A

ln(x+sqrt(x^2+1))

19
Q

arcoshx

A

ln(x+sqrt(x^2)-1)

20
Q

artanhx

A

1/2ln(1+/1-x)

21
Q

(coshA)^2-(sinhA)^2

A

1

22
Q

derive arsinhx

A

1/sqrt(x^2+1)

23
Q

derive arcoshx

A

1/sqrt(x^2-1)

24
Q

derive artanhx

A

1/1-x^2