Question

Escreva A Forma Trigonometrica De z.
a) z=-2+2i

Answer 1

acho q ta certo
espero ter ajudado
*2i=362
i=362/2
i=181

Answer 2

Complexo para forma trigonométrica.

cosӨ = a/p e senӨ = b/p

a = -2

b = 2

$p=\sqrt{a^{2}+b^{2}  } \\ p=\sqrt{8}$

$p=2\sqrt{2}$

cos(Ө) = a/p

$\frac{-2}{2\sqrt{2} } \\ Racionalizando\\ \frac{-2*2\sqrt{2} }{2\sqrt{2}*2\sqrt{2}  }\\ \frac{-4\sqrt{2} }{4*2}\\ \frac{-4\sqrt{2} }{8}=\frac{-\sqrt{2} }{2}$

sen(Ө) = b/p

$\frac{2}{2\sqrt{2} } \\ Racionalizando\\ \frac{2*2\sqrt{2} }{2\sqrt{2}*2\sqrt{2}  }\\ \frac{4\sqrt{2} }{4*2}\\ \frac{4\sqrt{2} }{8}=\frac{\sqrt{2} }{2}$

Logo temos:

z = p*( cosӨ + i*senӨ)

$z = 2\sqrt{2} (cos (135) + i.sen(135))$