The number of solutions of the equation `2(sin^(4)2x+cos^(4)2x)+3sin^(2)xcos^(2)x=0` is

Find the number of solutions of the equation sin^(4)x+cos^(4)x-2sin^(2)x+(3)/(4)sin^(2)2x=0 in the interval [0,2 pi]

The number of solution of the equation sin^(3)x cos x+sin^(2)x cos^(2)x+cos^(3)x sin x+1=0 in the interval [0, 2pi] is equal to

int(sin^(4)2x+cos^(4)2x)/(sin^(2)2xcos^(2)2x)dx=

Number of solution(s) of the equation x^(2)+2x cos x=2sin x+3

Number of solutions of the equation sin^(2)x+sin^(2)2x-sin^(2)3x-sin^(2)4x=0 lying in the interval (0,(pi)/(2))]

The total number of solution of the equation sin^(4)x+cos^(4)x=sin x cos x in [0,2 pi] is :

Find the number of solutions of the equation 2 sin^(2) x + sin^(2) 2x = 2 , sin 2x + cos 2x = tan x in [0, 4 pi] satisfying the condition 2 cos^(2) x + sin x le 2 .

The number of solutions to the equations cos^(4)x+(1)/(cos^(2)x)=sin^(4)x+(1)/(sin^(2)x) in the interval [0,2pi] is