1. 1. $senx>1/2$; $2cosx+sqrt(3)>0$ Antonio Bernardo
  2. 2. $sqrt(3)senx-2sen^2 x>0$ Antonio Bernardo
  3. 3. $2cos^2x+3senx-3>0$ Antonio Bernardo
  4. 4. $tan^2 (2x+ \pi /6)-tan(2x+ \pi /6)>0$ Antonio Bernardo
  5. 5. $(cosx)/(2senx-1)>0$ Antonio Bernardo
  6. 6. ${(2sen^2x-sqrt(3)senx>=0),(4cos^2x>3):} Antonio Bernardo