Unformatted text preview: rectangular form and simplify . EXHIBIT your solutions geometrically. 6. Let θ be a real number. (i) Let n > 1 be an integer. SHOW using DeMoivre’s theorem that ( e iθ ) n = e iθn . (ii) PROVE cos θ = 1 2 ( e iθ + eiθ ) sin θ = 1 2 i ( e iθeiθ ) (iii) (a) EXPAND ( e iθ + eiθ ) 3 and SIMPLIFY. (b) Hence SHOW that cos3 θ = 4 cos 3 θ3 cos θ. 1...
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 Spring '08
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 polar form, equal value, MIV axiom

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