Formulae Flashcards
(7 cards)
De moivre’s formula
(cos(θ) +isin(θ))^n = cos(nθ)+isin(nθ)
Euler’s formula
e^(iθ) = cos(θ) + isin(θ)
Cos in exp
Cos(nθ) = (e^(inθ)+e^(-inθ))/2
Sin in exp
Sin(nθ) = (e^(inθ)-e^(-inθ))/(2i)
Cos in complex
(Z^n + 1/(Z^n))/2
Sin in Complex
(Z^n - 1/(Z^n))/2i
Quotient rule
(f’(x)g(x)-f(x)g’(x))/((g(x))^2)