Graph parametric equations in polar coordinates

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Q. Plot the parametric equations x=3 cos⁡θ and y=2 sin⁡2θ
for values of θ from 0 to 2π.

θ (rad) 0 π/4 π/2 3π/4 π 5π/4 3π/2 7π/4 2π
x 3 2.12 0 − 2.12 − 3 − 2.12 0 2.12 3
y 0 2 0 − 2 0 2 0 − 2 0
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