(i)[4]
Sketch the curves $y = \sin 2x$ and $y = \cos x - 1$ together on the same diagram for $0 \le x \le 2\pi$.
(ii(a))[1]
Hence give the number of solutions, in the interval $0 \le x \le 2\pi$, of the equation $2\sin 2x + 1 = 0$.
(ii(b))[1]
Hence give the number of solutions, in the interval $0 \le x \le 2\pi$, of the equation $\sin 2x - \cos x + 1 = 0$.