(a)[4]
From the equation $\cos(x - 30^{\circ}) = 2\sin(x + 30^{\circ})$, show that $\tan x = \frac{2 - \sqrt{3}}{1 - 2\sqrt{3}}$.
(b)[2]
Hence solve the equation $\cos(x - 30^{\circ}) = 2\sin(x + 30^{\circ})$, for values of $x$ satisfying $0^{\circ} < x < 360^{\circ}$.