If `a=cos((2pi)/7)+i sin((2pi)/7)` , then find the quadratic equation whose roots are `alpha=a+a^2+a^4` and `beta=a^3+a^5+a^7` .

If alpha,beta are roots of x^2-px+q=0 then find the quadratic equation whose roots are ((alpha^2-beta^2)(alpha^3-beta^3)) and alpha^2beta^3+alpha^3beta^2

If alpha and beta are the roots of the equation 2x^2-3x + 4=0 , then the equation whose roots are alpha^2 and beta^2, is

If alpha, beta be the roots of the equation x^2-px+q=0 then find the equation whose roots are q/(p-alpha) and q/(p-beta)

cos (cos^-1 cos((8pi)/7) +tan^-1 tan((8pi)/7)) has the value equal to -

If alpha, beta are the roots of the equationn x^(2)-3x+5=0 and gamma, delta are the roots of the equation x^(2)+5x-3=0 , then the equation whose roots are alpha gamma+beta delta and alpha delta+beta gamma is

If alpha, beta are the roots of x^(2)-3x+1=0 , then the equation whose roots are (1/(alpha-2),1/(beta-2)) is

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is

If alpha, beta, gamma are the roots of the cubic equation x^(3)+qx+r=0 then the find equation whose roots are (alpha-beta)^(2),(beta-gamma)^(2),(gamma-alpha)^(2) .

If k=sin((pi)/(18))sin((5pi)/(18))sin((7pi)/(18)) , then the numerical value of k is ………..

cos((2pi)/(7))+cos((4pi)/(7))+cos((6pi)/(7))=