[ tan A / ( sec A - 1 ) ] = [ ( sec A + 1 ) / tan A ] . prove it
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[ tan A / ( sec A - 1 ) ] = [ ( sec A + 1 ) / tan A ]
LHS=
[ tan A / ( sec A - 1 ) ]
=tanA (SecA+1)/SecA-1(SecA+1). [on rationalising]
=tanA(SecA+1)/tan^2A
=SecA+1/tanA=RHS
Hence Proved
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