SOLUTION: Use De Moivre's Theorem to find an expression for cot3(theta).
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Question 1181682: Use De Moivre's Theorem to find an expression for cot3(theta).
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
De Moivre's theorem: for any real number and integer .
===>
Expanding the left side of the preceding equation, we get
after rearranging and combining like terms.
===> and
after equating corresponding real and imaginary parts.
Therefore,
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