SOLUTION: evaluate (1+i)^12 by using De Moivre's Theorem.express the result in rectangular form

SOLUTION: evaluate (1+i)^12 by using De Moivre's Theorem.express the result in rectangular form

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Question 218937: evaluate (1+i)^12 by using De Moivre's Theorem.express the result in rectangular form
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
z = 1+i
----------
(1+i)^12
r = |i+i| = sqrt(2)
theta = 45�
z^12 = r^12cis(theta*12)
= 64cis540
= 64*(cos(540 + isin(540))
= 64*(-1 + i*0)
= -64

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