Show that :
`((1+tan^(2)A)/(1+cot^(2)A))=((1-tan A)/(1-cot A))^(2)=tan^(2)A`

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

Prove the following identity,where the angles involved are acute angles for which the expressions are defined.(x) ((1+tan^(2)A)/(1+cot^(2)A))=((1-tan A)/(1-cot A))^(2)=tan^(2)A

prove that ((1-tan A)/(1-cot A))^(2)=tan^(2)A

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

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

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

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

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

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

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