Prove that cosec⁡θsin⁡θsec⁡θcos⁡θ1tan⁡θcot⁡θ cosec theta sin theta sec theta cos

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cosec theta - sin theta, sec theta - cos theta, Prove that (cosec⁡θ-sin⁡θ)(sec⁡θ-cos⁡θ)=1/(tan⁡θ+cot⁡θ)
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