Can you find the range

Geometry Level 3

sinθ1+tan2θcosθ1+cot2θ\large \frac {\sin \theta}{\sqrt {1+\tan^2 \theta}} - \frac {\cos \theta}{\sqrt {1+ \cot^2 \theta}}

For πθπ-\pi \leq \theta \leq \pi, find the range of the expression above.

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