(i)[4]
If $\sin(\theta + 45^\circ) + 2\cos(\theta + 60^\circ) = 3\cos\theta$, determine the exact value of $\tan\theta$ in surd form. There is no need to simplify your answer.
(ii)[2]
Hence solve the equation $\sin(\theta + 45^\circ) + 2\cos(\theta + 60^\circ) = 3\cos\theta$ in the interval $0^\circ < \theta < 360^\circ$.