(i) Solve the equation \(2 \cos^2 \theta = 3 \sin \theta\), for \(0^\circ \leq \theta \leq 360^\circ\).

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