Edexcel P1 2022 January — Question 9

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2022
SessionJanuary
TopicTrig Graphs & Exact Values

9. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6c320b71-8793-461a-a078-e4f64c144a3a-28_784_1324_260_312} \captionsetup{labelformat=empty} \caption{Figure 4}
\end{figure} Figure 4 shows part of the curve with equation $$y = A \cos ( x - 30 ) ^ { \circ }$$ where \(A\) is a constant. The point \(P\) is a minimum point on the curve and has coordinates \(( 30 , - 3 )\) as shown in Figure 4.
  1. Write down the value of \(A\). The point \(Q\) is shown in Figure 4 and is a maximum point.
  2. Find the coordinates of \(Q\).