Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $$\begin{array} { l } x = 2 \sin 3 \theta \\y = 2 \cos 3 \theta\end{array}$$

question 77

Multiple Choice

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. $$\begin{array} { l } x = 2 \sin 3 \theta \\y = 2 \cos 3 \theta\end{array}$$

• A)\(y = \frac { x } { 3 }\)
• B) \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 4 } = 1\)
• C) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 4 } = 1\)
• D) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 3 } = 0\)
• E) \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 3 } = 1\)

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