Question

cot²Acosec²B–cot²Bcosec²A = cot²A – cot²B​

Answer 1

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Answer 2

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