sabriunna sabriunna
  • 02-03-2022
  • Mathematics
contestada

PLEASE PLEASE HELP!!!!

PLEASE PLEASE HELP class=
PLEASE PLEASE HELP class=
PLEASE PLEASE HELP class=
PLEASE PLEASE HELP class=
PLEASE PLEASE HELP class=

Respuesta :

ganjilaya2019
ganjilaya2019 ganjilaya2019
  • 02-03-2022

Answer:

B

Step-by-step explanation:

[tex] \cos( \alpha ) + i\sin( \alpha ) = {e}^{i (\alpha + 2\pi)} [/tex]

z = 3(cos π/2 + i sin π/2) =→

[tex]3 {e}^{i \frac{\pi}{2} } [/tex]

z⁷ =

[tex] {3}^{7} {e}^{i \frac{7\pi}{2} } = {3}^{7} {e}^{i \frac{(7 - 4)\pi}{2} } = {3}^{7} {e}^{i \frac{3\pi}{2} } = {3}^{7} ( \cos( \frac{3\pi}{2} ) + i \sin( \frac{3\pi}{2} ) ) = 2187( \cos( \frac{3\pi}{2} ) + i \sin( \frac{3\pi}{2} ) )[/tex]

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