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Unformatted text preview: rectangular form and simplify . EXHIBIT your solutions geometrically. 6. Let be a real number. (i) Let n > 1 be an integer. SHOW using DeMoivres theorem that ( e i ) n = e in . (ii) PROVE cos = 1 2 ( e i + e-i ) sin = 1 2 i ( e i-e-i ) (iii) (a) EXPAND ( e i + e-i ) 3 and SIMPLIFY. (b) Hence SHOW that cos3 = 4 cos 3 -3 cos . 1...
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This note was uploaded on 06/03/2011 for the course MAS 3300 taught by Professor Staff during the Spring '08 term at University of Florida.
- Spring '08