Question

(Números complexos) @)Escreva os números complexos na forma trigonometrica a)z=-bi b)z=5
$c)z = - \sqrt{2} + \sqrt{2} i$
$d) z = \sqrt{3} + i$
$e)z = - 1 - \sqrt{3} i$
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Answer 1

a)

γ = √0 + (-b) ² = √b ² = b

cos θ = 0/ b = 0

sen θ = -b/b = -1

θ = 3π/2

z = b. [ cos (3π/2) + i. sen (3π/2)]

b)

γ = √5 ² + 0 ² = 5

cos θ = 5/5 = 1

sen θ = 0/5 = 0

θ = 0

z = 5. ( cos 0 + i. sen 0)

c)

γ = √(-√2) ² + (√2) = √4 = 2

cos θ = -√2/2

sen θ = √2/2

θ = 3 π/4

z = 2. ( cos 3 π/4 + i. sen 3 π/4)