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Formulae Flashcards

(7 cards)

1
Q

De moivre’s formula

A

(cos(θ) +isin(θ))^n = cos(nθ)+isin(nθ)

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2
Q

Euler’s formula

A

e^(iθ) = cos(θ) + isin(θ)

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3
Q

Cos in exp

A

Cos(nθ) = (e^(inθ)+e^(-inθ))/2

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4
Q

Sin in exp

A

Sin(nθ) = (e^(inθ)-e^(-inθ))/(2i)

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5
Q

Cos in complex

A

(Z^n + 1/(Z^n))/2

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6
Q

Sin in Complex

A

(Z^n - 1/(Z^n))/2i

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7
Q

Quotient rule

A

(f’(x)g(x)-f(x)g’(x))/((g(x))^2)

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