review notes
understand de Moivre’s theorem, for a positive
or negative integer exponent, in terms of the
geometrical effect of multiplication and division
of complex numbers
prove de Moivre’s theorem for a positive integer
exponent
use de Moivre’s theorem for a positive or
negative rational exponent
– to express trigonometrical ratios of multiple
angles in terms of powers of trigonometrical
ratios of the fundamental angle
– to express powers of sin i and cos i in
terms of multiple angles
– in the summation of series
– in finding and using the nth roots of unity.
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