Use a Table of Values to Graph the Plane Curve $x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi]$

Multiple Choice

Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation
for the curve.
- $x=5 \tan t, y=4 \sec t \text {, for } t \text { in }[0,2 \pi]$

A)

$$\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty )$$

B)

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

C)

$$\frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 25 } = 1 , \text { for } x \text { in } ( - \infty , \infty )$$

D)

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