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 of all the solutions in [0, 4pi] of the equation tan x+ cot x+1= cos (x+pi/4) is

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

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 ]

The sum of all the solution in [0,4 pi] of the equation tan x+cot x+1=cos(x+(pi)/(4))is (a) 3 pi(b)(pi)/(2)(c)(7 pi)/(2) (d) 4 pi

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

The solution of the equation cos^(-1)x+cos^(-1)2x=(2pi)/(3) is