1+cosecA cos^2A
________ =_______
cosec A 1 - sin A
Solution:- Taking the L.H.S.
1+cosec A
________
cosec A
=> 1+ 1 /sinA
___________
1/sinA
=> sin A +1
Taking the R.H.S.
cos^A
_________
1 - sinA
=> 1 -sin^2A
___________ => (1 + sin A)(1 - sin A)
_______________
1 - sinA ( 1 - sinA)
=> sin A+1
So,
L.H.S. = R.H.S.(proved)
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Answer:
This is already proved know.
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