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Unformatted text preview: ( 2 i 1 + i ) 1 / 6 . 8. Prove that if n is a positive integer, then v v sin( n/ 2) sin( / 2) v v n ( n = 0 , 2 , 4 , ) Hint: if z = e i , then the LHS above equals | (1-z n ) / (1-z ) | . 9. Consider the regular decagon (= 10-gon) of radius 10. Prove that the product p of the distance from any one vertex to each of the others is given by P = 10 , 000 , 000 , 000...
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- Spring '08