8 A curve has polar equation \(r = 3 + 2 \cos \theta\), where \(0 \leq \theta < 2 \pi\)
8
- State the maximum and minimum values of \(r\).
[0pt]
[2 marks]
L
8
- (ii) Sketch the curve.
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8 - The curve \(r = 3 + 2 \cos \theta\) intersects the curve with polar equation \(r = 8 \cos ^ { 2 } \theta\), where \(0 \leq \theta < 2 \pi\)
Find all of the points of intersection of the two curves in the form \([ r , \theta ]\).
[0pt]
[6 marks]