cot²Acosec²B–cot²Bcosec²A = cot²A – cot²B
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Solution :-
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LHS :-
Cot²A*Cosec²B - Cot²B*Cose²A
Cot²A(1 + Cot²B) - Cot²B(1 + Cot²A)
= Cot²A + Cot²A*Cot²B - Cot²B -
- Cot²B*Cot²A
= Cot²A + Cot²A(Cot²B - Cot²B) -
- Cot²B
= Cot²A + Cot²A * 0 - Cot²B
= Cot²A - Cot²B
Hence proof
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