2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{91a2f26a-add2-4b58-997d-2ae229548217-04_670_1447_212_333}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a plot of part of the curve with equation \(y = \cos x\) where \(x\) is measured in radians. Diagram 1, on the opposite page, is a copy of Figure 1.
- Use Diagram 1 to show why the equation
$$\cos x - 2 x - \frac { 1 } { 2 } = 0$$
has only one real root, giving a reason for your answer.
Given that the root of the equation is \(\alpha\), and that \(\alpha\) is small,
- use the small angle approximation for \(\cos x\) to estimate the value of \(\alpha\) to 3 decimal places.
\includegraphics[max width=\textwidth, alt={}]{91a2f26a-add2-4b58-997d-2ae229548217-05_664_1452_246_333}
\section*{Diagram 1}