Find the number of solutions of the equation `||4sin x|-1|=1` in `(0,(pi)/(2))`.

Find the number of solutions of the equation sin x=x^(2)+x+1

Find number of solutions of equation sin x=-4x+1

Find the number of solutions of the equation 2cos3x(3-4sin^(2)x)=1 in [0,2 pi]

Find the number of solution of the equation cot^(2) (sin x+3)=1 in [0, 3pi] .

Find the number of solution to the equation x^(2)tanx=1,x in [0,2pi].

The number of solution of the equation |sin x|=|x-1| in the interval [0,pi]

The number of solutions of equations |tan2x|=sin x" in"[0,pi]

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]