(a) If z r(cos u i sin u), z is not zero, and n is a positive integer, use the result of
Chapter 13, Problem 78(choose chapter or problem)
(a) If z r(cos u i sin u), z is not zero, and n is a positive integer, use the result of Exercise 77 and DeMoivres theorem to show that zn r n [cos(nu) i sin(nu)]. (b) If z r(cos u i sin u)and z is not zero, we define z0 to be 1. Show that z0 r 0 (cos 0 i sin 0). (c) Finally, for any nonzero complex number z r(cos u i sin u) and any integer n, obtain the following generalization of DeMoivres theorem: zn rn [cos(nu) i sin(nu)] 79. S
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