" 3) "(tan A)/((1+tan^(2)A)^(2))+(cot A)/((1+cot^(2)A)^(2))=sin A cos A

Prove that: (tan A)/(1+tan^2A)^2 + (cot A)/(1+cot^2A)^2 = sin A cos A .

(tan^(2)A)/(1+tan^(2)A)+(cot^(2)A)/(1+cot^(2)A)=1

((1+tan^(2)A)cot A)/(cos ec^(2)A)=tan A

(tan theta)/((1+tan^(2)theta)^(2))+(cot theta)/((1+cot^(2)theta)^(2))=sin theta cos theta

Prove each of the following identities : (tan theta)/((1+ tan^(2) theta)^(2)) + (cot theta)/((1+ cot^(2) theta)^(2)) = sin theta cos theta

(sin^(2)A)/(1+cot A)+(cos^(2)A)/(1+tan A)=1-sin A*cos A

Prove : (tan^2A)/(1+tan^2A)+(cot^2A)/(1+cot^2A)=1

(tan ^ (3) A) / (1 + tan ^ (2) A) + (cot ^ (3) A) / (1 + cot ^ (2) A) = sec A cos ecA-2sin A cos A

((1+tan^(2)A)/(1+cot^(2)A))=((1-tan A)/(1-cot A))^(2)=tan^(2)A

Prove the trigonometric identities: (1+cot A+tan A)(sin A-cos A)=(sec A)/(cos ec^(2)A)-(cos ecA)/(sec^(2)A)=sin A tan A-cot A cos A