Question

escreva na forma polar o número complexo z=4+4i

Answer 1

a = 4
b = 4
|z| = \/(a²+b²)
|z| = \/(4²+4²)
|z| = \/(16+16)
|z| = \/32
|z| = 4\/2
cos T = a/|z|
cos T = 4/(4\/2)
cos T = 4\/2/(4\/2.\/2)
cos T = 4\/2/8
cos T = 4\/2:4 / 8:4
cos T = \/2/2
sen T = \/2/2

z = \/2/2(cos pi/4 + i.sen pi/4)