Question 5
The parametric equations of a curve are
$x = \mathrm{e}^{\tan t}, \quad y = 3\tan^2 t.$
Find the equation of the tangent to the curve at the point $(\mathrm{e}, 3)$. Give your answer in the form $y = mx+c$, where $m$ and $c$ are exact.
$x = \mathrm{e}^{\tan t}, \quad y = 3\tan^2 t.$
Find the equation of the tangent to the curve at the point $(\mathrm{e}, 3)$. Give your answer in the form $y = mx+c$, where $m$ and $c$ are exact.
