Trigonometry - Trigonometric Graphs and Parameters

The diagram shows the curves \(y=3\cos 2x\) and \(y=k-\cos x\) for \(0\le x\le \frac{5}{4}\pi\) radians. The curves intersect at the points \(P\) and \(Q\) where \(Q\) is the common turning point for both curves.

Find

1. the value of \(k\).
2. the coordinates of \(P\).