(i)[3]
Express $8\sin\theta + 15\cos\theta$ in the form $R\sin(\theta + \alpha)$, where $R > 0$ and $0^\circ < \alpha < 90^\circ$. State the value of $\alpha$ correct to 2 decimal places.
(ii)[4]
Hence solve $8\sin\theta + 15\cos\theta = 6$ in the interval $0^\circ \leq \theta \leq 360^\circ$.