The curve $C$ is defined by the parametric equations $x={{\sin }^{3}}\left( 2t \right)$, $y=\sqrt{3}

Question

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

Accepted Answer

Required area $=\frac{3\sqrt3}{8}\text{ units}^2$

2018 BT1 VJC Q3

2018 BT1 VJC Q3

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