SOLUTION: Use DeMoivre's theorem to write [3cis(pi/2)]^2 in the form a + bi without trigonometric functions.
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Question 70994: Use DeMoivre's theorem to write [3cis(pi/2)]^2 in the form a + bi without trigonometric functions.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
[3cis(pi/2)]^2
= 9 cis (pi/2 + pi/2)
= 9 cis (pi)
= 9 (cos(pi)+isin(pi))
= 9 ( -1 + 0i)
=-9+0i
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Cheers,
Stan H.
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