Yes, I get the same answers with either method.

The confusion was the visualisation of what is actually happening behind the equations. How would I solve given a boundary of pi and -pi or [0,2pi)?

I think I get confused because I look at the answer and see tan so I imagine the graph of tan and wonder where the solutions are on it. Why is it 2kpi multiples if tan has period of just pi?

btw thanks again for all the help, it is more useful than you know