SAT1000 - P296

Find the range of the function $f(x)=\dfrac{\sin x-1}{\sqrt{3-2\cos x-2\sin x}}\ (x \in [0,2\pi])$ .

If the range can be expressed as $[l,r]$ , submit $\lfloor 1000(2r-l) \rfloor$ .

Have a look at my problem set: SAT 1000 problems