Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. (Round terms to four decimal places.)?

Question

[3(cos#pi/15#+ i sin #pi/15)]^7#

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Answer 1 · 2016-12-01T18:16:57

2187 #[cos ((7pi)/15) + i sin ((7pi)/15)]#

Direct application of De Moivre's theorem would give the result as #3^7 [cos ((7pi)/15) +isin ((7pi)/15) ]#

=2187 #[cos ((7pi)/15) + i sin ((7pi)/15)]#