Prove: `sqrt((1+sinA)/(1-sinA))=secA+tanA`

Prove that sqrt((1+sinA)/(1-sinA))=secA+tanA.

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

Prove that: i) sqrt((1-cosA)/(1+cosA))="cosec"A-cotA ii) sqrt((1+sinA)/(1-sinA))=secA-tanA

Prove that: i) sqrt((1-cosA)/(1+cosA))="cosec"A-cotA ii) sqrt((1+sinA)/(1-sinA))=secA-tanA

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

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

Prove that: sqrt((1-sinA)/(1+sinA))={(secA-tanA,if -pi/2 lt A lt pi/2),(tanA-secA ,if pi/2 lt A lt (3pi)/2):}