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Cos A/1-tan A + sin A/1-cot A =sin A + cos A
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Cos A/1-tan A + sin A/1-cot A =sin A + cos A

User Shangxiao
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(cosA)/( (cosA)/(cosA)- (sinA)/(cosA))+ (sinA)/( (sinA)/(sinA)- (cosA)/(sinA) )=sinA+cosA\\ (cosA)/( (cosA-sinA)/(cosA)+ (sinA)/( (sinA-cosA)/(sinA) ) )=sinA+cosA\\ ( cos^(2)A )/(cosA-sinA) }- (sin^(2)A )/(cosA-sinA)=sinA+cosA\\ ( cos^(2)A-sin^(2)A )/(cosA-sinA)=sinA+cosA\\cos(2A)=(sinA+cosA)(cosA-sinA)\\ cos(2A)=(sinA+cosA)(sinA-cosA)\\cos(2A)=sin^(2)A - cos^(2)A\\cos2A=cos2A \\1=1
User Milson
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