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(sec A - cosec A)(1+ tan A + cot A) = tan A sec A- cot A cosec A
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Dear student 1/CosA - 1/SinA (1+sinA/CosA + CosA/SinA)= (SinA-cosA)/SinAcosA)((SinACosA + Sin^2A + Cos^2A)/(SinACosA)=(Sin^3A - Cos^3A) /SinA CosA= TanA SecA - CotACosecA
Dear student LHS(1/ cosA - 1/sinA ) (1 + sinA/cosA + cosA /sinA)= ((SinA-cosA)/sinA cosA)((sinA cosA + sin²A + cos²A)/sinA cos A)= (Sin³A - cos³A)/ sinA cosA= TanA secA - cotA cosecA RHS Hence proved.
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