\"\"

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The parametric equation are \"\" and \"\" over the interval \"\"

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Observe that \"\"

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So \"\"

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Construct a table with different values of \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"
\

\"\"

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Graph :

\

(1) Draw the coordinate plane.

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(2) Graph the equations \"\" and \"\" for \"\".

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\"\"

\

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Indicate the obtained points on the graph.  

\

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Based on the values of \"\", indicate the direction of \"\" as it increases with an arrow. 

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\"\"

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(b)

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The parametric equation are \"\" over the interval \"\".

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Let us take \"\".

\

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Substitute \"\" in \"\".

\

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\"\".

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Therefore, the Cartesian equation is \"\".

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\"\"

\

(a)

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Graph :

\

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\"\"

\

\

(b)

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The Cartesian equation is \"\".