6.\\
\includegraphics[max width=\textwidth, alt={}, center]{0214eebf-93f2-4338-9222-443000115225-4_346_1040_303_548}

\section*{Figure 1}
Figure 1 shows a sketch of the curve $C _ { 1 }$ with equation

$$y = \cos ( \cos x ) \sin x \quad \text { for } \quad 0 \leqslant x \leqslant \pi$$
\begin{enumerate}[label=(\alph*)]
\item Find $\frac { \mathrm { d } y } { \mathrm {~d} x }$
\item Hence verify that the turning point is at $x = \frac { \pi } { 2 }$ and find the $y$ coordinate of this point.
\item Find the area of the region bounded by $C _ { 1 }$ and the positive $x$-axis between $x = 0$ and $x = \pi$

Figure 2 shows a sketch of the curve $C _ { 1 }$ and the curve $C _ { 2 }$ with equation

$$y = \sin ( \cos x ) \sin x \quad \text { for } \quad 0 \leqslant x \leqslant \pi$$

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{0214eebf-93f2-4338-9222-443000115225-4_519_1065_1631_484}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{center}
\end{figure}

The curves $C _ { 1 }$ and $C _ { 2 }$ intersect at the origin and the point $A ( a , b )$ ,where $a < \pi$
\item Find $a$ and $b$ ,giving $b$ in a form not involving trigonometric functions.
\item Find the area of the shaded region between $C _ { 1 }$ and $C _ { 2 }$
\end{enumerate}

\hfill \mbox{\textit{Edexcel AEA 2016 Q6 [22]}}