# SAT1000 - P296

Geometry Level pending

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

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