Sketch polar curve

Questions requiring a sketch of a curve given in polar form, often identifying symmetry lines, maximum r values, or tangent directions at the pole.

26 questions · Standard +1.0

4.09b Sketch polar curves: r = f(theta)
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Pre-U Pre-U 9795/1 2015 June Q4
7 marks Challenging +1.2
A curve has polar equation \(r = \sin \frac{1}{4}\theta\) for \(0 \leqslant \theta < 2\pi\).
  1. Sketch the curve. [3]
  2. Determine the area of the region enclosed by the curve. [4]