Number of solution (s) of the equation `(sin x)/( cos 3 x) +( sin 3 x )/( co 9 x) + ( sin 9 x )/( cos 27 x) = 0 ` in the interval `(0, (pi)/( 4))` is

The number of solutions of the equation |2 sin x - sqrt(3)|^(2 cos^(2) x - 3 cos x + 1 = 1 [0, pi ] is

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 _____

The general solution of the equation 8 cos x cos 2x cos 4x=sin 6x/sinx is

The number of solution is of the equations 2(sin^(4)2x+cos^(4)2x)+3sin^(2)xcos^(2)x=0 is

(sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x