Question: Complex number. advanced maths. show solution thanks. 2 2 Let W: cos +ism?n. (a) Show that Wis a root of the equation Z5 - 1

Complex number. advanced maths. show solution thanks.

2 2 Let W: cos +ism?n. (a) Show that Wis a root of the equation Z5 - 1 = 0. (b) Show that (w 1) (1414+ W3+ w2+ W+ 1) = WS 1 and deduce that W4+W3+W2+W+1=0. 2 4 1 ((3) Hence Show that cos + cosn = . 5 5 2

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