(i)[3]
Prove that the identity $\sin(x - 30^\circ) + \cos(x - 60^\circ) \equiv (\sqrt{3})\sin x$ is true.
(ii)[6]
Hence solve the equation $\sin(x - 30^\circ) + \cos(x - 60^\circ) = \frac{1}{2}\sec x$, for values of $x$ satisfying $0^\circ < x < 360^\circ$.