Sketch a Possible Parametric Curve Defined by the Following Table

question 83

Essay

Sketch a possible parametric curve defined by the following table of values. $$\begin{array} { | l | c c c c c c c c c | } \hline t & 0 & \frac { \pi } { 4 } & \frac { \pi } { 2 } & \frac { 3 \pi } { 4 } &{ \pi } & \frac { 5 \pi } { 4 } & \frac { 3 \pi } { 2 } & \frac { 7 \pi } { 4 } & 2 \pi \\\hline x & 2 & \sqrt { 2 } & 0 & - \sqrt { 2 } & - 2 & - \sqrt { 2 } & 0 & \sqrt { 2 } & 2 \\\hline y & 0 & \sqrt { 2 } & - 2 & \sqrt { 2 } & 0 & - \sqrt { 2 } & 2 & - \sqrt { 2 } & 0 \\\hline\end{array}$$

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