AQA FP3 2008 January — Question 6

Exam BoardAQA
ModuleFP3 (Further Pure Mathematics 3)
Year2008
SessionJanuary
TopicPolar coordinates

6 A curve \(C\) has polar equation $$r ^ { 2 } \sin 2 \theta = 8$$
  1. Find the cartesian equation of \(C\) in the form \(y = \mathrm { f } ( x )\).
  2. Sketch the curve \(C\).
  3. The line with polar equation \(r = 2 \sec \theta\) intersects \(C\) at the point \(A\). Find the polar coordinates of \(A\).