5 The parametric equations of a curve are
$$x = 2 + 3 \sin \theta \text { and } y = 1 - 2 \cos \theta \text { for } 0 \leqslant \theta \leqslant \frac { 1 } { 2 } \pi$$
- Find the coordinates of the point on the curve where the gradient is \(\frac { 1 } { 2 }\).
- Find the cartesian equation of the curve.