The number of solutions of the equation `cos^2(x+pi/6)+cos^2x-2cos(x+pi/6)dotcospi/6=sin^2pi/6` in interval `((-pi)/2,pi/2)` is_________

The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi/6)dotcos(pi/6)=sin^2(pi/6) in interval ((-pi)/2,pi/2) is_________

The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi/6)dotcos(pi/6)=sin^2(pi/6) in interval ((-pi)/2,pi/2) is_________

The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi/6)dotcos(pi/6)=sin^2(pi/6) in interval ((-pi)/2,pi/2) is_________

The number of solutions of the equation cos^(2)(x+(pi)/(6))+cos^(2)x-2cos(x+(pi)/(6))*cos(pi)/(6)=sin^(2)(pi)/(6) in interval ((-pi)/(2),(pi)/(2)) is

The number of solution of the equation |cos x|=cos x-2 sin x "in"[0,6 pi] is

The number of solution of the equation |cos x|=cos x-2 sin x "in"[0,6 pi] is

The number of solution of the equation |cos x|=cos x-2 sin x "in"[0,6 pi] is

The number of solution (s) of the equation sqrt2+cos 2 x=(sin x+cos x) in [-pi/2, pi]

The number of solutions of the equation cos^(2) (x + (pi)/( 6)) + cos ^(2) x - 2 cos ( + (pi)/( 6)) co ""(pi)/( 6) = sin ^(2) (pi)/( 6) in interval ((-pi)/( 2), (pi)/( 2)) is _____