Question 63
Let $x$ be a real number such that $\cos(60^\circ-x)\ne0$ and $\sin(120^\circ-x)\ne0$. Without using a calculator, find the exact value of
$$
\frac{\sqrt3+4\sin x\cos x}{\cos(60^\circ-x)\cdot\sin(120^\circ-x)}.
$$
$$
\frac{\sqrt3+4\sin x\cos x}{\cos(60^\circ-x)\cdot\sin(120^\circ-x)}.
$$