Prove that ...(1+ cotA + tanA )( sinA - cosA) = sinA tanA - cotA cos A
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=(1 + cosA/sinA + sinA/cosA)(sinA - cosA)
=sinA(1 + cosA/sinA + sinA/cosA) -cosA(1 + cosA/sinA + sinA/cosA)
=sinA + cosA + tanA sinA - cosA - cosAcotA - sinA
=sinA tanA - cosA cotA
= RHS
=sinA(1 + cosA/sinA + sinA/cosA) -cosA(1 + cosA/sinA + sinA/cosA)
=sinA + cosA + tanA sinA - cosA - cosAcotA - sinA
=sinA tanA - cosA cotA
= RHS
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