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If a(1),a(2),a(3)...,a(n) are real numbe...

If `a_(1),a_(2),a_(3)...,a_(n)` are real numbers with `a_(n)!=0` and `cos alpha+i sin alpha` is a root of `z^(n)+a_(1)z^(n-1)+a_(2)z^(n-2)+...+a_(n-1)z+a_(n)` then the value of `a_(1)cos alpha+a_(2)cos2 alpha+a_(3)cos3 alpha+...`

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