A curve $C$ is defined by the parametric equations $x=2t+\cos 2t$, $y=\sin 2t$, where $-\frac{\pi }{

Question

A curve $C$ is defined by the parametric equations $x=2t+\cos 2t$, $y=\sin 2t$, where $-\frac{\pi }{2}\le t\le 0$. Sketch the curve $C$, labelling the $x$-intercepts. Hence find the exact area of the region bounded by $C$ and the $x$-axis. [6]

Accepted Answer

$2 + \frac{\pi}{2}$ units²

2015 SRJC P1 Q12

2015 SRJC P1 Q12

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