plz give answer in all steps
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Lets take theta as A
so
(cosA-sinA+1)/(cosA+sinA-1)
Dividing both numerator and denominator by sinA
CosecA+cotA-1/CotA+cosecA-1)
CosecA+cotA-(cosec²A-cot²A)/CotA+cosecA-1)
CosecA+cotA(cotA-cosecA+1)/CotA+cosecA-1)
cosecA+cotA=RHS
∴ Hence proved
so
(cosA-sinA+1)/(cosA+sinA-1)
Dividing both numerator and denominator by sinA
CosecA+cotA-1/CotA+cosecA-1)
CosecA+cotA-(cosec²A-cot²A)/CotA+cosecA-1)
CosecA+cotA(cotA-cosecA+1)/CotA+cosecA-1)
cosecA+cotA=RHS
∴ Hence proved
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