`sin^2(x)=3cos^2(x)`

`(sin^2(x))/(cos^2(x))=3`

`tan^2(x)=3`

`tan(x)=+-sqrt(3)`

General solutions for tan(x)=`sqrt(3)` are

`x=pi/3+pin`

General solutions for tan(x)=-`sqrt(3)` are

`x=(2pi)/3+pin`

So the solutions are,

`x=pi/3+pin , (2pi)/3+pin`

`sin^2(x)=3cos^2(x)`

`(sin^2(x))/(cos^2(x))=3`

`tan^2(x)=3`

`tan(x)=+-sqrt(3)`

General solutions for tan(x)=`sqrt(3)` are

`x=pi/3+pin`

General solutions for tan(x)=-`sqrt(3)` are

`x=(2pi)/3+pin`

So the solutions are,

`x=pi/3+pin , (2pi)/3+pin`