Use a Table of Values to Graph the Plane Curve $x = 2 \tan t , y = 5 \sec t$

Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular
equation for the curve.
- $x = 2 \tan t , y = 5 \sec t$ , for $t$ in $[ 0,2 \pi ]$

A)

$y = 5 \sqrt { 1 + \frac { x ^ { 2 } } { 4 } }$ , for $x$ in $( - \infty , \infty )$
B)

$\frac { y ^ { 2 } } { 25 } + \frac { x ^ { 2 } } { 4 } = 1$ , for $x$ in $( - \infty , \infty )$
C)

$\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 4 } = 1$ , for $x$ in $( - \infty , \infty )$
D)

$y = x ^ { 2 } - 9$ , for $x$ in $[ - 3,3 ]$

Correct Answer:

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