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(1 + Cot A +Tan A ) ( SinA -CosA )
= SinA +CosA +Sin2A/CosA -CosA -Cos2AsinA -Sin A
=Sin2A/ CosA -Cos2A/SinA
= SecA/Cosec2A -Cosec/Sec2A
sinA(TanA) - CotA CosA
= Sin2A / cosA - Cos2A SinA
Sec2A/cosec2A - CosecA/Sec2A
LHS = CENTRE = RHS
hence proved
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