Question

Transforme o complexo Z = 1 - i √3 , para forma trigonométrica

Answer 1

z = a + b.i

z = 1 - i.√3

a = 1; b = - √3

cosӨ = a/p =  1/2

SenӨ = b/p= -√3/2

P = √(1)^2 + (-√3)^2

P = √(1 + 3)

P = √4

P = 2

Cos 300 = 1/2

Sen 300 = - √3/2

z = p*cosӨ + p*senӨi → z = p*( cosӨ + i*senӨ)

z = 2.cos300 + 2.sen300i

z = 2.(cos 300° + i.sen 300°)