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solve:- From L. H. S = (1/cos - sin/cos)²
( 1 - sin )²
__________
( cos)²
( 1 - sin ) ( 1 - sin )
____________________
1 - sin²
( 1 - sin) ( 1 -sin)
_____________
( 1 -sin) (1 +sin)
( 1 -sin)
_______
( 1 +sin)
( 1 - 1/cosec)
__________
( 1 +1/cosec)
cosec -- 1
_________
cosec
__________
cosec + 1
__________
cosec
cosec -1
_______
cosec +1. R. H. S proved
( 1 - sin )²
__________
( cos)²
( 1 - sin ) ( 1 - sin )
____________________
1 - sin²
( 1 - sin) ( 1 -sin)
_____________
( 1 -sin) (1 +sin)
( 1 -sin)
_______
( 1 +sin)
( 1 - 1/cosec)
__________
( 1 +1/cosec)
cosec -- 1
_________
cosec
__________
cosec + 1
__________
cosec
cosec -1
_______
cosec +1. R. H. S proved
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