SPS SPS FM Pure 2020 February — Question 4

Exam BoardSPS
ModuleSPS FM Pure (SPS FM Pure)
Year2020
SessionFebruary
TopicPolar coordinates

4 The equation of a curve in polar coordinates is \(r = \frac { 1 } { 2 } - \cos \theta\).
  1. Sketch the polar graph of the curve.
  2. Find the exact area enclosed by the curve between \(\theta = \frac { 1 } { 3 } \pi\) and \(\theta = \frac { 5 } { 3 } \pi\).