Question

Escrever na forma trigonométrica

A) z1 = -1 + i
B) z2 = 3 + 3i

Answer 1

a) (-1, 1) => 2° Q
p = √a²+b²= √(-1)²+1² = √2
tgx = b/a = 1/-1 = -1 => x = π -π/4= 3π/4
z = √2.(Cos 3π/4 + i.Sen 3π/4)

b) (3, 3) => 1° Q
p = √a²+b²= √3²+3²= √2.3² = 3√2
tgx = b/a = 3/3 = 1 => x = 45° (π/4)
z = 3√2.(Cos π/4 + i.Sen π/4)