Prove that (1+Cotθ- Cosecθ)(1+tanθ+Secθ)=2

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tan theta/1-cot theta + cot theta/1-tan theta= 1+ sec theta cosec theta tan theta/1-cot theta + cot theta/1-tan theta= 1+ sec theta cosec theta
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Prove that (1+cotθ-cosecθ)(1+tanθ+secθ)=2 Prove that (1+cotθ-cosecθ)(1+tanθ+secθ)=2