Prove the following:-
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Step-by-step explanation:
LHS
= (sinA)^2/cosA(sinA - CosA) - (cosA)^2/SinA(SinA - CosA)
= tanASinA/(sinA - CosA) - cotAcosA/(sinA - CosA)
= (tanASinA - cotAcosA)/(sinA - CosA)
= [(sinA)^2/cosA - (cosA)^2/sinA]/(sinA - CosA)
= [(sinA)^2/cosA - (cosA)^2/sinA]/(sinA - CosA)
= [(sinA)^3 - (cosA)^3]/(sinA - CosA)*CosASinA
= (sinA - cosA)[(sinA)^2 + (cosA)^2 + sinAcosA]/(sinA - CosA)sinAcosA
= 1 + tanA + cotA
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