Question

Question #5d6c5

Answer 1

`3tan^4x-2tan^2x-1=0`

`=>3tan^4x-3tan^2x+tan^2x-1=0`

`=>3tan^2x(tan^2x-1)+(tan^2x-1)=0`

`=>(3tan^2x+1)(tan^2x-1)=0`
So
`3tan^2x+1=0`
`=>tanx=sqrt(-1/3)->"not possible"`

Again

`tan^2x-1=0`

`=>tanx=pm1=tan(pmpi/4)`

`=>x=npipmpi/4" where " n in ZZ`