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Prove that: (tan theta)/(1 - cot theta) ...

Prove that:
`(tan theta)/(1 - cot theta) + (cot theta)/(1 - tan theta)` = ` 1 + sec theta cosec theta`

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Prove that : (tan theta)/(1 -cot theta) + (cot theta)/(1- tan theta) = 1 + cos theta cosec theta

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