Question

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Answer 1

Hii Keerthi,


We have,
LHS = (CotA+CosecA)-1 / (CotA-CosecA)+1
= (CosecA+ CotA)-(Cosec²A - Cot²A) / (CotA - CosecA+1). [ since 1= Cosec²A- Cot²A]
= (CosecA+ CotA)[1-(CosecA-CotA)]/(CotA-CosecA+1)
= (CosecA+CotA)(CotA-CosecA+1)/(CotA CotA-CosecA+1)
= (CosecA+CotA)--(1/SinA+CosA/SinA)
= (1+CosA)/SinA..= RHS
Hence,
CotA+CosecA-1/CotA-CosecA= 1+CosA/SinA
LHS= RHS..

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