CAIE FP1 2011 June — Question 5

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2011
SessionJune
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicPolar coordinates

5 The curve \(C\) has polar equation \(r = 2 \cos 2 \theta\). Sketch the curve for \(0 \leqslant \theta < 2 \pi\). Find the exact area of one loop of the curve.

5 The curve $C$ has polar equation $r = 2 \cos 2 \theta$. Sketch the curve for $0 \leqslant \theta < 2 \pi$.

Find the exact area of one loop of the curve.

\hfill \mbox{\textit{CAIE FP1 2011 Q5}}