(cosecA -sinA)(secA-cosA)=1/tanA+cotA
Cosec-sin×sec-cos =lhs cosec-1/cosec×sec-l/sec=cosec2 -1/cosec ×sec2-1/sec=cot2/cosec×tan2/sec=cos2/sin2/1/sin×sin/cos2/1/cos=sin×cos RHS=1/sin/cos+cos/sin=sin2+cos2/sin×cos=sin×cos LHS=RHS 2is square
LHS: (1/sinA-sinA) (1/cosA-cosA) (1-sin sq A/sinA)(1-cos sq A/cosA) ( cos sq A/sinA)( sin sq A/cosA) = cosAsinARHS: 1/sinA/cosA+cosA/sinA Sin sq A + cos sq A/sinAcosA 1/1/sinAcosA = sinAcosA LHS =RHS HENCE PROVED