(Steps Shown) Here 's the plot of a whimsical region R in the xy-plane. X(t)= cos (t)(1- sin [t]- cos [t]) Y(t)= sin (t)(3- cos [t]- sin [t]) Find the area
Question: Here 's the plot of a whimsical region \(\mathrm{R}\) in the xy-plane.
\(X(t)=\cos (t)(1-\sin [t]-\cos [t])\)
\(\mathrm{Y}(\mathrm{t})=\sin (\mathrm{t})(3-\cos [\mathrm{t}]-\sin [\mathrm{t}])\)
Find the area of the region
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