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

Prove that (1+sin theta)/(1-sin theta)=(sec theta+tantheta)^(2)

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

Prove that: sqrt((1-sintheta)/(1+sintheta))= sec theta- tan theta when (-pi/2) < theta < pi/2 and -sec theta+tan theta when pi/2< theta< (3pi)/2

Prove the identities: (1+cot theta - cosec theta) (1+ tan theta + sec theta)=2

Prove that : (1+ sin theta)/(1-sin theta) = tan^2 (pi/4 + theta/2)

Prove that (1 - cos 2 theta)/( sin 2 theta) = tan theta.

Prove that (1+sin 2theta)/(1-sin 2theta) = ((1+tan theta)/(1-tan theta))^2

Prove : (cos theta)/(1+sin theta) + (cos theta)/(1-sin theta)= 2 sec theta

If pi/2 < theta < (3pi)/2 then sqrt ((1-sin theta)/(1+sin theta))= a. sec theta-tan theta, b. sec theta + tan theta, c. tan theta-sec theta, d. none of these

(sin theta + sin 2 theta)/( 1 + cos theta + cos 2 theta) = tan theta.