Question 1 - A-Level Maths

Find all values of \(\theta\) in the interval \(0 \leq \theta < 360\) for which
1. \(\cos ( \theta + 75 ) ^ { \circ } = 0\).
2. \(\sin 2 \theta ^ { \circ } = 0.7\), giving your answers to one decima1 place.
  [0pt] [P1 January 2001 Question 3]
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{9f1194cd-cc8a-4f8d-8010-c62fea344c4e-01_645_1408_1096_262} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} Figure 1 shows the curve with equation \(y = 5 + 2 x - x ^ { 2 }\) and the line with equation \(y = 2\). The curve and the line intersect at the points \(A\) and \(B\).
Find the \(x\)-coordinates of \(A\) and \(B\).
(3) The shaded region \(R\) is bounded by the curve and the line.
Find the area of \(R\).
(6)