| Exam Board | SPS |
|---|
| Module | SPS FM Pure (SPS FM Pure) |
|---|
| Year | 2021 |
|---|
| Session | June |
|---|
| Topic | Harmonic Form |
|---|
7. (a) Determine a sequence of transformations which maps the graph of \(y = \cos \theta\) onto the graph of \(y = 3 \cos \theta + 3 \sin \theta\)
Fully justify your answer.
(b) Hence or otherwise find the least value and greatest value of
$$4 + ( 3 \cos \theta + 3 \sin \theta ) ^ { 2 }$$
Fully justify your answer.
[0pt]
[BLANK PAGE]