Question

cosecA/ (cosecA-1) + cosec A/( cosecA+ 1) = 2sec^2A
please prove this

Answer 1

Hey !!!

From LHS

cosecA / (cosecA - 1 ) + cosecA / ( cosecA + 1 )

cosecA ( cosecA - 1 ) + cosecA ( cosecA + 1 )
-----------------------------------------------
(cosecA - 1 ) ( cosecA + 1 )

cosec²A - cosecA + cosec²A + cosecA
------------------------------------------------------
cosec²A - 1

2 cosec²A / cot²A

2 / sin²A
--------------
cos²A / sin²A

2 / cos²A

= 2sec²A RHS = LHS prooved

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Hope it helps you !!!

@Rajukumar111

Answer 2

hope this would help you..
THANKS