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2014-09-05T10:32:02+05:30

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From RHS
sinAtanA - cotAcosA

 {sin^{2} A}/{cosA} - cos^{2}A/sinA = (sin^{3}A - cos^{3}A)/sinAcosA=(sinA - cosA)(sin^{2}A + cos^{2}A + sinAcosA)/sinAcosA = (sinA - cosA)[(sin^{2}A + cos^{2}A + sinAcosA)/sinAcosA ] =  (sinA - cosA)[(sin^{2}A)/sinAcosA + (cos^{2}A)/sinAcosA + 1] =  (sinA - cosA)(1+ cotA + tanA)[/tex[tex]PROVED.
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