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13 September, 08:46

Use DeMoivre's Theorem to write the complex number in standard form.

(√2 (cos (20°) + isin (20°)) ^6

A) 4√3 + 4i

B) - 4 + 4√3 i

C) 4 + 4√3 i

D) - 4√3 + 4i

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Answers (1)
  1. 13 September, 09:00
    0
    Hello,

    Answer B

    (√2 (cos (20°) + isin (20°)) ^6 = 8 * (cos 120°+isin120°)

    =8 * (-1/2+i√3/2)

    =4 (-1+i√3)
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