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**Unformatted text preview: **θ2 , whereθ is a real angle. 5. Fix n≥ 1. Show that the n th roots of unity ω , . . . , ω n- 1satisfy (a)( z-ω )(z- ω 1) · · · (z- ω n-1 ) = zn- 1, (b) n- 1 Xa =0ω a= 0 , (c) n-1 Ya =0ω a= (- 1) n-1 ,(d) n- 1X a =0 ω k a= (, 1≤ k≤ n-1 n ,k =n .6. Find formulae for cos 4θ and sin 4 θ in terms of cos θ and sin θ ....

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- Fall '07
- Lim
- ΩA, cos θ, c Show