<p>The curve $C$ is defined by the parametric equations</p>
<p style="text-align: center">$x={{\sin }^{3}}\left( 2t \right)$, $y=\sqrt{3}\tan t$, for $t\ge 0$.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Sketch the curve $C$.</span></div><p style="text-align: right;">[2]</p></li><li><div class="list-item-content"><span class="list-item-text">Find the exact area of the region $R$ enclosed by $C$, the $y$-axis and the lines $y=1$ and $y=\sqrt{3}$.</span></div><p style="text-align: right;">[4]</p></li></ol>

The curve $C$ is defined by the parametric equations

$x={{\sin }^{3}}\left( 2t \right)$, $y=\sqrt{3}\tan t$, for $t\ge 0$.

Find the exact area of the region $R$ enclosed by $C$, the $y$-axis and the lines $y=1$ and $y=\sqrt{3}$.

2018 BT1 VJC Q3

2018 BT1 VJC Q3

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