Question

escreva na forma algebrica cada um dos numeros complexos z=2(cosπ/3+isenπ/6)                    (z=3(cosπ/6+isenπ/6)

Answer 1

a) |z| = 2
cos 180/3 = a/2
a/2 = cos 60
a/2 = 1/2
a = 1

sen 180/3 = b/2
sen 60 = b/2
√3/2 = b/2
b = √3
z = a+bi
z = 1+√3i

b) |z| = 3
cos 180/3 = a/3
a/3 = cos 60
a/3 = 1/2
2a = 3
a = 3/2
sen 60 = b/3
b/3 = √3/2
2b = 3√3
b = 3√3/2
z = 3/2 + 3√3i/2