(Solved): show all work vertical tangents (x,n)=(x) herizonal turouns (x,y)=(, (x,v)(x) De ...

vertical tangents $(x,n)=\left(\begin{array}{l}\square \\ x\end{array}\right)$ herizonal turouns $(x,y)=(\square$, $(x,v)-\left({\square }_x\right)$ Determine the slope of the tangent line, then find the equation of the tangent line at the given value of the parameter. (If an answer does not exist, enter DNE.) $x(t)=2\sec (t),y(t)=2\tan (t)\text{ at }t=\frac{\pi }{4}$ slope $\frac{dy}{dx}=$ tangent line equation