Edexcel P1 2024 January — Question 6

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2024
SessionJanuary
TopicTrig Graphs & Exact Values

6. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{2043b938-ed3f-4b69-9ea9-b4ab62e2a8ce-14_919_954_299_559} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} Figure 2 shows a plot of part of the curve \(C _ { 1 }\) with equation $$y = 5 \cos x$$ with \(x\) being measured in degrees.
The point \(P\), shown in Figure 2, is a minimum point on \(C _ { 1 }\)
  1. State the coordinates of \(P\) The point \(Q\) lies on a different curve \(C _ { 2 }\)
    Given that point \(Q\)
    • is a maximum point on the curve
    • is the maximum point with the smallest \(x\) coordinate, \(x > 0\)
    • find the coordinates of \(Q\) when
      1. \(C _ { 2 }\) has equation \(y = 5 \cos x - 2\)
      2. \(C _ { 2 }\) has equation \(y = - 5 \cos x\)