8 The curve \(C\) has the polar equation
$$r = 4 - 2 \cos \theta \quad - \pi < \theta \leq \pi$$
8
- Verify that the point with polar coordinates \(\left( 3 , \frac { \pi } { 3 } \right)\) lies on \(C\)
8 - Find the exact polar coordinates of the point on \(C\) which is furthest from the pole, \(O\) [3 marks]
8 - Find the exact Cartesian coordinates of the point on \(C\) where \(\theta\) is \(\frac { \pi } { 6 }\)