2018 BT1 VJC Question 3
The curve $C$ is defined by the parametric equations
$x={{\sin }^{3}}\left( 2t \right)$, $y=\sqrt{3}\tan t$, for $t\ge 0$.
(i)
Sketch the curve $C$.
(ii)
Find the exact area of the region $R$ enclosed by $C$, the $y$-axis and the lines $y=1$ and $y=\sqrt{3}$.
[4]
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