Solve for the exact solutions in the interval [0,2π)\displaystyle {\left[{0},{2}\pi\right)}. If the equation has no solutions, respond with DNE.

 12tan2(x)=1sec(x)\displaystyle \frac{{1}}{{2}}{{\tan}^{{2}}{\left({x}\right)}}={1}-{\sec{{\left({x}\right)}}}