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let-give-the-polynomial-p-x-x-1-n-x-1-n-with-n-from-N-1-give-the-factorisation-of-p-x-inside-C-x-2-prove-that-k-0-n-1-cotan-kpi-2p-1-1-2p-1-




Question Number 28434 by abdo imad last updated on 25/Jan/18
let give the polynomial p(x)=(x+1)^n −(x−1)^n with n  from N^∗   1) give the factorisation of p(x) inside C[x]  2) prove that Π_(k=0) ^(n−1) cotan(((kπ)/(2p+1)))=(1/( (√(2p+1))))
letgivethepolynomialp(x)=(x+1)n(x1)nwithnfromN1)givethefactorisationofp(x)insideC[x]2)provethatk=0n1cotan(kπ2p+1)=12p+1

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