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" If "a=cos((8 pi)/(11))+i sin((8 pi)/(1...

" If "a=cos((8 pi)/(11))+i sin((8 pi)/(11))," then "Re(a+a^(2)+a^(3)+a^(4)+a^(5))

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If alpha=cos((8 pi)/(11))+i sin((8 pi)/(11)) then Re(alpha+alpha^(2)+alpha^(3)+alpha^(4)+alpha^(5)) is

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let x_(1)=cos((pi)/(11))cos((2 pi)/(11))cos((3 pi)/(11))cos((4 pi)/(11))cos((5 pi)/(11)) and x_(2)=cos((pi)/(11))+cos(2(pi)/(11))+cos(3(pi)/(11))+cos(4(pi)/(11))+cos(5(pi)/(11)) then show that x_(1).x_(2)=(1)/(64)(cos ec((pi)/(22))-1)

cos ((pi) / (11)) cos ((2 pi) / (11)) cos ((3 pi) / (11)) ... cos ((11 pi) / (11)) =

cos ((pi) / (11)) cos (2 (pi) / (11)) cos (3 (pi) / (11)) cos (4 (pi) / (11)) cos (5 (pi) / (11))