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simplify tan(90+ theta ) sec(180 + theta )

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Sec (90- Ө) = Cosec Ө and Cosec (90- Ө) = Sec Ө

Tan (90- Ө) = Cot Ө and Cot (90- Ө) = Tan Ө

Sec (90- Ө) = Cosec Ө and Cosec (90- Ө) = Sec Ө

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Can you show that Cos (360-theta) cosec (180+theta) cot (90-theta) /sec (90+ theta) cos (-theta) =cosec theta? - Quora