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

Question

13 September, 08:46

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Rylee Young · Answer 1

Hello,

Answer B

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

=8 * (-1/2+i√3/2)

=4 (-1+i√3)

Use DeMoivre's Theorem to write the complex number in standard form.(√2 (cos (20°) + isin (20°)) ^6A) 4√3 + 4iB) - 4 + 4√3 iC) 4 + 4√3 iD) - 4√3 + 4i