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Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose x=2sin3θy=2cos3θ\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. x=2sin3θy=2cos3θ\begin{array} { l } x = 2 \sin 3 \theta \\y = 2 \cos 3 \theta\end{array}


A) y=x3y = \frac { x } { 3 }
B) x24y24=1\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 4 } = 1
C) x24+y24=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 4 } = 1
D) x24+y23=0\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 3 } = 0
E) x24y23=1\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 3 } = 1

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