Solve the equation between $\displaystyle 0 \leq \theta \leq 360$ for

$\displaystyle tan^2\theta + 2sec\theta = 7$

My answers for this:

$\displaystyle \theta$ = 60, 300, 104.5, 244.5.

Are these values correct? I am new to these trigonometric identities and if I have this right then it's definitely a step in the right direction.

If not, then I'll post my working to try and find out where I went wrong.

Thanks if you can help