prove that cosecA (1-cosA)(coseco A+cotA)*= 1
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LHS= cosecA(1-cosA) (cosecA+cotA)
=cosecA (1-cosA)(1/sinA + cosA/sinA)
=cosecA (1-cosA)(1+cosA/sinA)
=cosecA( 1-cos^2A/sinA)
= 1/sinA(sin^2A/ sinA)
=1
= RHS
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