A42. (i) Prove by induction the formula i(n1)9 = 3mg 1 1+ei9+82i6+---+e .9 (eigyl). e1 1 (ii) Show that the complex conjugate of em 1 is e43 1. (iii) Find the real parts of both sides of the expression in (i), and likewise nd the imaginary parts of both sides. (Don't bother introducing terms such as cos(6 / 2); leave the solution in terms of func- tions like cos 1:6 and sin 129 With it an integer.)