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Step-by-step explanation:
Formula used in this question -:
1+cot²x = cosec²x
(cot²A)(cosec²B) - (cot²B)(cosec²A)
Using the above formula-:
=(cot²A)(1+cot²B) - (cot²B)(1+cot²A)
=(cot²A + cot²A cot²B) - (cot²B + cot²A cot²B )
=cot²A - cot²B [Hence proved]
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