[填空题]
Consider the functions f and g d hote vbsu7/ )2pu*b1ria.b c(. .oglcefined on the domain $0\lt x \lt 2$ $\pi$ by
$f(x)=4 \cos 2 x \quad \text { and } \quad g(x)=2-8 \cos x$ .
The following diagram shows the graphs of y=f(x) and y=g(x) .
1. Find the x -coordinates of the points of intersection of the two graphs.
2. Find the exact area of the shaded region, giving your answer in the form $a \pi+b \sqrt{3}$ , where a, b $\in \mathbb{Q}$ . At the points P and Q on the diagram, the gradients of the two graphs are equal.
3. Determine the y -coordinate of P on the graph of g .
