Worked Example 7
A curve $C$ has parametric equations $x=1-\sin \theta$, $y=\theta +\cos \theta$, where $-\pi \le \theta \le \frac{\pi }{2}$.
Sketch the graph of $C$, stating the exact coordinates of the end points.
[2]

A curve $C$ has parametric equations $x=1-\sin \theta$, $y=\theta +\cos \theta$, where $-\pi \le \theta \le \frac{\pi }{2}$.
Sketch the graph of $C$, stating the exact coordinates of the end points.
[2]