(i)[3]
Show that the equation $\frac{\cos \theta + 4}{\sin \theta + 1} + 5\sin \theta - 5 = 0$ can be rewritten as $5\cos^2 \theta - \cos \theta - 4 = 0$.
(ii)[4]
Hence solve the equation $\frac{\cos \theta + 4}{\sin \theta + 1} + 5\sin \theta - 5 = 0$ for $0^\circ \leq \theta \leq 360^\circ$.