| $y = ( \cos x ) ^ { \cos x }$ | $y = ( \sin x ) ^ { \sin x }$ | $y = ( \cos x ) ^ { \sin x }$ | $y = ( \sin x ) ^ { \cos x }$ | |
| A | P | Q | R | S |
| B | P | Q | S | R |
| C | Q | P | R | S |
| D | Q | P | S | R |
| E | R | S | P | Q |
| F | R | S | Q | P |
| G | S | R | P | Q |
| H | S | R | Q | P |
P, Q, R and S show the graphs of
$$y = ( \cos x ) ^ { \cos x } , y = ( \sin x ) ^ { \sin x } , y = ( \cos x ) ^ { \sin x } \text { and } y = ( \sin x ) ^ { \cos x }$$
for $0 < x < \frac { \pi } { 2 }$ in some order.
Which row in the following table correctly identifies the graphs?
\begin{center}
\begin{tabular}{|l|l|l|l|l|}
\hline
& $y = ( \cos x ) ^ { \cos x }$ & $y = ( \sin x ) ^ { \sin x }$ & $y = ( \cos x ) ^ { \sin x }$ & $y = ( \sin x ) ^ { \cos x }$ \\
\hline
A & P & Q & R & S \\
\hline
B & P & Q & S & R \\
\hline
C & Q & P & R & S \\
\hline
D & Q & P & S & R \\
\hline
E & R & S & P & Q \\
\hline
F & R & S & Q & P \\
\hline
G & S & R & P & Q \\
\hline
H & S & R & Q & P \\
\hline
\end{tabular}
\end{center}