Solve the following inequations
`(i) (sinx-2)(2sinx-1) lt 0` `(ii) (2cosx-1)(cosx) le 0`
`(iii) sinx+sqrt(3)cosx ge 1` `(iv) cos^(2)x+sinx le 2`
`(v) tan^(2)x gt 3`

Answer

`(i) x in uuu_(n in I)((pi)/(6)+2npi,(5pi)/(6)+2npi)` `(ii)x in uu_(n in I)[(-pi)/(2)+2npi,(-pi)/(3)+2npi]uu[(pi)/(3)+2npi,(pi)/(2)=2npi]`
`(iii)x in uu_(n in I)[-(pi)/(6)+2npi,2npi+(pi)/(2)]` `(iv) x in R` `(v)x in uuu_(n in I)(-(pi)/(2)+2npi,-(pi)/(3)+2npi)uu((pi)/(3)+2npi,(pi)/(2)+2npi)`