elizabethhelidah elizabethhelidah
  • 04-12-2020
  • Mathematics
contestada

express (sin 30 + i cos 30)^18​

Respuesta :

oscar236
oscar236 oscar236
  • 04-12-2020

Answer:

-i.

Step-by-step explanation:

Applying DeMoivre' s theorem:

(sin 30 + i cos 30)^18​

= sin(18*30) + i cos(18*30)

= sin 540 + i cos 540

= sin (3*180) + i cos (3*180)

= 0 + -1 * i

= -i.

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