Question

Represente na forma trigonométrica o complexo z= 2√3 - 2i.

Answer 1

z= 2√3 - 2i ===> (4° Quadrante)

p=√a²+b² =√(2√3)²+2²=√12+4=√16 = 4

tgx = b/a = -2/2√3= -1/√3 = -√3/3

x = 360 -30 = 330°

z=p(cosx + i.senx)

z=4(cos330° + i.sen330°) ✓