`((1+tan^2A)cotA)/(cosec^2A) = tanA`

Prove the following identities : ((1+tan^(2)A)cotA)/(cosec^(2)A)=tanA

((+tan^(2)A)cotA)/("cosec"^(2)A) is equal to

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: (tanA)/((1+tan^2A)^2)+(cotA)/((1+cot^2A)^2)=sinAcosA

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

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 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 that: (tanA)/((1+tan^2 A )^2) + (cotA)/((1+cot^2 A)^2) = sinA cosA .

Prove that : (cosA)/("cosec "A+1)+("cosA")/("cosec "A-1)=2tanA