The solution of the equation
`"cos"^(2) x-2 "cos" x = 4 "sin" x - "sin" 2x (0 le x le pi)`, is

Number of solutions of the equation sin^(4) x-cos^(2)x sin x + 2 sin^(2) x+sin x=0 in 0 le x le 3pi is ________.

Number of solutions of the equation sin^(4) x-cos^(2)x sin x + 2 sin^(2) x+sin x=0 in 0 le x le 3pi is ________.

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

The number of solution of the equation x^3 + x^2 + 4x + 2 sin x = 0 , 0 le x le 2pi , is

The solution of the equilibrium [ sin x+ cos x ] ^(1+ sin 2x ) = 2 , - pi le x le pi is