Prove that (1+cot A+tan A)(sin A- cos A)=sin A tan A- cot A cos A
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Step-by-step explanation:
(1+cot A+tan A)(sin A- cos A)
= SinA - CosA + SinA*CotA + SinATanA - CosACotA - CosATanA
= SinA - CosA + SinA.CosA/SinA + SinA.TanA - CosA.CotA - CosA.SinA/CosA
= SinA - CosA + CosA + SinA.TanA - CosA.CotA - SinA
= SinA.TanA - CosA.CotA + SinA - CosA + CosA - SinA
= SinA.TanA - CosA.CotA
= R.H.S.
Hence Proved
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