Just for fun!-VII

Geometry Level 2

\[\frac { \sin\left( 180^\circ+\theta \right) \cos(270^\circ-\theta )\cot\left( \theta -360^\circ \right) }{\cos\left( \theta -90^\circ \right) \sin(360^\circ-\theta )\tan(270^\circ+\theta ) }\] Find the value of the expression above, where \(\theta \neq 180^\circ k\) for \(k \in \mathbb{Z}\).

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