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

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 the following identities, where the angles involved are acute angles for which the expressions are defined. : ((1+tan^2A)/(1+cot^2A))=((1-tanA)/(1-cotA))^2=tan^2A .

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

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

Prove the following identities, where the angles involves are acute angles for which the expressions are defined:(x) ((1+tan^2A)/(1+Cot^2A))^2=((1-tan^2A)/(1-Cot^2A))^2=tan^4A

Prove the following identity, where the angles involved are acute angles for which the expressions are defined. sqrt((1+sinA)/(1-sinA))=secA+tanA

Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (iv) (1+secA)/(secA)=(sin^2A)/(1-cosA)

Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (cosA)/(1+sinA)+(1+sinA)/(cosA)=2secA

Prove the following identity,where the angles involved are acute angles for which the expressions are defined.(vi) sqrt((1+sin A)/(1-sin A))=sec A+tan A