Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form?

Question

(cos(0) + i sin(0#))^12#

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Answer 1 · 2016-12-03T17:41:49

#1#

The de Moivre's identity states

#e^(iphi)=cosphi+isinphi#

so using it

#cos(0)+isin(0) = e^(i 0)=1# then

#(cos(0)+isin(0) )^(12)=1^(12) = 1#