4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{0d458344-42cb-48d1-90b3-e071df8ea7bb-12_897_1040_205_534}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows part of the curve with polar equation
$$r = 4 - \frac { 3 } { 2 } \cos 6 \theta \quad 0 \leqslant \theta < 2 \pi$$
- Sketch, on the polar grid in Figure 2,
- the rest of the curve with equation
$$r = 4 - \frac { 3 } { 2 } \cos 6 \theta \quad 0 \leqslant \theta < 2 \pi$$
- the polar curve with equation
$$r = 1$$
$$0 \leqslant \theta < 2 \pi$$
A spare copy of the grid is given on page 15.
In part (b) you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
- Determine the exact area enclosed between the two curves defined in part (a).
Only use this grid if you need to redraw your answer to part (a)
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{0d458344-42cb-48d1-90b3-e071df8ea7bb-15_901_1042_1651_532}
\captionsetup{labelformat=empty}
\caption{Copy of Figure 2}
\end{figure}