A curve $C$ has parametric equation $x=4\sin 2 heta -2$, $y=3-4\cos 2 heta $ for $0\le heta Find

Question

A curve $C$ has parametric equation $x=4\sin 2	heta -2$, $y=3-4\cos 2	heta $ for $0\le 	heta Find a cartesian equation of $C$. Give the geometrical interpretation of $C$. [3] $P$ is a point on $C$ where $	heta =\frac{3}{8}\pi $. The tangent at $P$ meets the $y$- axis at the point $T$ and the normal at $P$ meets the $y$-axis at the point $N$. Find the exact area of triangle $NPT$. [5]

Accepted Answer

$12 - 8\sqrt{2}$ units²

2019 DHS P1 Q7

2019 DHS P1 Q7

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