Question

Forma Trigonometrica de:

Z1= 1+√3i

Answer 1

tgx = b/a = √3/1 = √3 ==> x=60° (π/3)
p=√a²+b² = √1+3= √4 = 2
z= 2.(Cos π/3 + i.sen π/3) ✓

Answer 2

Resposta:

Z=1+i√3

|Z|=√(1+√3²)=2

ponto => (1,√3) 1ª quadrante

sen >0

cos >0

sen Ɵ =√3/2   ...Ɵ = 60°

cos Ɵ =1/2    ...Ɵ = 60°

z = |z| * (cos Ɵ + i *sen Ɵ)

z = 2 * (cos 60° + i *sen 60°)