37) cot²A.cosec²B-cot²B.cosecA=cot²A-cot²B
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Step-by-step explanation:
Answered by
0
Answer:
L.H.S. :
= cot^2 A . cosec^2 B - cot^2 B . cosec^ A
= cot^2 A (1 + cot^2 B) - cot^2 B(1 + cot^2 A)
= cot^2 A + cot^2 A cot^2 B - cot^2 B - cot^2 B cot^2 A
= cot^2 A - cot^ B = R.H.S.
Hence proved.
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