Prove that: \[ \frac{\tan \left(\frac{\pi}{2}-x\right) \sec (\pi-x) \sin (-x)}{\sin (\pi+x) \cot...
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Prove that:
\[
\frac{\tan \left(\frac{\pi}{2}-x\right) \sec (\pi-x) \sin (-x)}{\sin (\pi+x) \cot (2 \pi-x) \operatorname{cosec}\left(\frac{\pi}{2}-x\right)}=1
\]
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