Solve: 2 sin(2x) = (1-sin(x))cos(x) for 0<x<2*Pi and give any values of x, if any, where the equation is not valid

Double angle formula:Sin(2x) = 2sin(x)*cos(x)==> 2sin(x)*cos(x) = (1-sin(x))*cos(x)       (2sin(x)-1+sin(x))*cos(x) = 0(3sin(x) - 1)*cos(x) = 0     i) cos(x) = 0,  ii) 3sin(x) = 1 ==> sin(x) = 1/3         i) x = Pi/2, 3Pi/2    ii) x = 0.3398 Rad,  2.8018 Rad