Solve the equation `(1+k)cosxcos(2x-alpha)=(1+kcos2x)cos(x-alpha)`

(cos2x-cos2 alpha)/(cos x-cos alpha)

(cos2x-cos2 alpha)/(cos x-cos alpha)

intdx/(cosxcos(x+alpha))

If alpha_(2)

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

The values of alpha for which the equation (alpha^(2))/(1-tan^(2)x)=(sin^(2)+x alpha^(2)-2)/(cos2x) has solution can be

If the equation k sin x + sqrt(k-2)cos x+(tan alpha+cot alpha)=0, 0 lt alpha lt(pi)/(2) , possesses real solution, then k belongs to

If alpha_(1),alpha_(2),alpha_(3),.........,alpha_(n) are the roots of f(x)=0 then the equation whose roots (alpha_(1))/(K),(alpha_(2))/(K),(alpha_(3))/(K),.........(alpha_(n))/(K) is where , K!=0

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