a. Eliminate parameter t to find the equation in rectangular form.

Sketch the curve defined by:

\(\displaystyle

x = \sec t,

y = \tan^2 t,

0\leq t \leq \pi

\)

So far I made a chart with 3 columns, labeled: t, x, and y. For the t column I chose the values:

\(\displaystyle

\frac {\pi}{3},

\frac {\pi}{4},

\frac {\pi}{6},

\frac {3\pi}{4},

\frac {2\pi}{3},

\frac {5\pi}{6}

\)

Am I supposed to convert? If so, how do I convert \(\displaystyle tan^2 t\)?

\(\displaystyle

\sec t = \frac {1}{\cos t}?

\)