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

question 42

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

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