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Find the quadratic equation whose roots ...

Find the quadratic equation whose roots are `tan ((pi)/(8))` and `tan ((5pi)/(8))`?

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cot((pi)/(8))-tan((pi)/(8))=2

Prove that cot((pi)/8) - tan((pi)/8) = 2

if a=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose roots are alpha=a+a^2+a^4 and beta=a^3+a^5+a^6 .

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