(a)[3]
Show that the equation $4\sin x + \frac{5}{\tan x} + \frac{2}{\sin x} = 0$ can be rewritten in the form $a\cos^2 x + b\cos x + c = 0$, where $a$, $b$ and $c$ are integers to be found.
(b)[3]
Hence solve for $x$ in the equation $4\sin x + \frac{5}{\tan x} + \frac{2}{\sin x} = 0$ for $0^\circ \leq x \leq 360^\circ$.