COSA-sinA+1÷COSA + SinA-1=CoseCA + cot
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Step-by-step explanation:
CosA - SinA +1/CosA + sinA -1 =CotA + CosecA
CotA + CosecA -1/ CotA - CosecA +1
CotA+ CosecA -{Cosec²A - Cot²A}/CotA - CosecA +1
CotA + CosecA - {(CosecA + CotA)(CosecA - CotA)}/CotA-CosecA+1
CotA +CosecA {1 - ( CosecA - cotA)}/ cotA - CosecA +1
=CotA + CosecA(1 - CosecA + CotA)/ CotA - CosecA +1
= CotA - CosecA +1
Hence proved
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