The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is

The number of distinct solution of the equation 5/4 cos^(2) 2x + cos^(4)x+sin^(4) x+cos^(6)x+sin^(6) x=2 in the interval [0, 2pi] is _______.

The number of distinct solution of the equation 5/4 cos^(2) 2x + cos^(4)x+sin^(4) x+cos^(6)x+sin^(6) x=2 in the interval [0, 2pi] is _______.

The number of distinct solutions of the equation (5)/(4)cos^(2)2x+cos^(4)x+sin^(4)x+cos^(6)x+sin^(6)x=2 in the interval [0,2 pi] is

The number of distinct solutions of the equation 5/4cos^2 2x+cos^4x+sin^4x+cos^6x+sin^6x=2 in the interval [0, 2pi] is

The number of distinct solutions of the equation (5)/(4)cos^(2)2x+cos^(4)x+sin^(4)x+cos^(6)x+sin^(6)x=2 in the intervel [0,2 pi] is

The solutions of the equation 4cos^(2) + 6 sin^(2) x =5 are

The number of distinct solutions of 5/4cos^(2)2x+cos^(4)x+sin^(4)x+cos^(6)x+sin^(6)x=2 is [0,20pi]

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

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