Sketch, exact period and maximum value of the sum of two sinusoidal functions

The function \(\mathrm{f}\) is defined by \(\mathrm{f}(x)=\cos2x+2\sin3x\) for \(0<x<4\pi\).

1. Using the grid provided, draw a sketch of the curve \(y=\mathrm{f}(x)\).[2]
2. Write down the period of \(\mathrm{f}\) as an exact multiple of \(\pi\).[2]
3. Find the greatest value taken by \(\mathrm{f}(x)\) in this interval.[2]