Prove the following identities : `sqrt((1+sin theta)/(1-sin theta)) = sec theta + tan theta` where `theta` is a acute

Prove that sqrt((1+sin theta)/(1-sin theta))=sec theta+tan theta

Prove that sqrt((1-sin theta)/(1+sin theta))=sec theta-tan theta

Prove the following identities: (1-sin theta)/(1+sin theta)=(sec theta-tan theta)^(2)

Prove that : sqrt((1 - sin theta)/(1 + sin theta)) = sec theta - tan theta

Prove: (cos theta)/(1+sin theta) = sec theta - tan theta

Prove the following identity : (1-sin theta)/(1+sin theta)= (sec theta-tan theta)^2 .

Prove the following identity : (sin theta tan theta)/ (1-cos theta)=1+ sec theta .

Prove the following identity : sqrt ((1+sin theta)/ (1-sin theta)) = {{:(sec theta+tan theta, if -pi/2 lt theta lt pi/2),( -sec theta-tan theta, if pi/2 lt theta lt (3pi)/2):} .

Prove that: (cos theta)/(1 + sin theta) = sec theta - tan theta