(1+cot-cos)(1+tan+sec)=2
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L.H.S.
= ( 1 + cot - cos ) ( 1 + tan + sec )
= ( 1 + cos/sin - cos ) ( 1 + sin/cos + 1/cos)
= ( 1 + ( cos - sin.cos)/ sin ) ( 1+ (sin + 1)/cos )
= [ {sin + (cos-sin.cos) } / sin ] [ {cos + (sin+1)}/cos]
= TO.BE CONTINUED.
HOPE IT WILL HELP A LITTLE BIT.
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