" Sum of solutions "(0,2 pi)" of the equation "cos x cos((pi)/(3)-x)cos((pi)/(3)+x)=(1)/(4)" is "

The sum of the solutions in (0, 2pi) of the equation cos x cos ((pi)/(3)-x)cos((pi)/(3)+x)=(1)/(4) is

Prove that cos x+cos((2 pi)/(3)-x)+cos((2 pi)/(3)+x)=0

If the sum of all the solutions of the equation 8cos x*(cos((pi)/(6)+x)cos((pi)/(6)-x)-(1)/(2))=1 in [0,pi] is k pi then k is equal to

The sum ofall the solutions ofthe equation cos((pi)/(3)+x)*cos((pi)/(3)-x)=(1)/(4)x in[0,6 pi]

cos((3pi)/4+x)-cos((3pi)/4-x)=

The sum of all the solution is of the equation cos theta cos ((pi)/3+theta)cos ((pi)/3-theta)=1/4, theta in [0,6pi ]