Question

(UFPA) O número complexo
$\sqrt{2} + \sqrt{2i}$
na forma trigonométrica, é?

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Answer 1

z = √2 + √2 i

p=√a²+b²= √(√2²+√2²)= √(2+2)= √4= 2

tgx = b/a =√2/√2 = 1 => x=45° ou π/4

z=p.(cosx + i.senx)

z=2.(cos π/4 + i.sen π/4) ✓