12 The diagram shows the curve with parametric equations
\(x = \sin 2 \theta + 2 , y = 2 \cos \theta + \cos 2 \theta\), for \(0 \leqslant \theta < 2 \pi\).
\includegraphics[max width=\textwidth, alt={}, center]{60e1e785-c34b-48ef-a63f-13a25fee186e-10_771_673_397_239}
- In this question you must show detailed reasoning.
Determine the exact coordinates of all the stationary points on the curve.
- Write down the equation of the line of symmetry of the curve.