Formulae

Question 1

De moivre’s formula

Answer 1

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

Question 2

Euler’s formula

Answer 2

e^(iθ) = cos(θ) + isin(θ)

Question 3

Cos in exp

Answer 3

Cos(nθ) = (e^(inθ)+e^(-inθ))/2

Question 4

Sin in exp

Answer 4

Sin(nθ) = (e^(inθ)-e^(-inθ))/(2i)

Question 5

Cos in complex

Answer 5

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

Question 6

Sin in Complex

Answer 6

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

Question 7

Quotient rule

Answer 7

(f’(x)g(x)-f(x)g’(x))/((g(x))^2)