June 2022 Paper 1 Q7
7 Sketch the graph of
\[y = \cot\left(x - \frac{\pi}{2}\right)\]for \(0 \leqslant x \leqslant 2\pi\) [3 marks]

| Scheme | Marks | AO |
|---|---|---|
| Sketches one of the sections of the curve shown below Either ![]() Do not allow the end points of the curve turning to intersect the asymptote | B1 | 1.2 |
| Sketches the three branches within the interval from 0 to \(2\pi\) Condone overlapping branches Asymptotes need not be drawn | M1 | 1.1a |
| Completes fully correct sketch with asymptotes drawn at approximately the correct positions Labelling not required and can be ignored Ignore anything after \(2\pi\) or to the left of \(O\) | A1 | 1.1b |
| (3 marks) |
Typical solution

