(a(i))[4]
Solve $2\cos^2\theta = 3\sin\theta$ for $0^\circ \leq \theta \leq 360^\circ$.
(a(ii))[3]
For the equation $2\cos^2(n\theta) = 3\sin(n\theta)$, where $n$ is a positive integer, the smallest positive solution is $10^\circ$. State the value of $n$ and hence find the largest solution of this equation in the interval $0^\circ \leq \theta \leq 360^\circ$.