`sqrt((1-sintheta)/(1+sintheta))={sectheta-tantheta ,` if `-pi/2ltthetaltpi/2` and `-sectheta+tantheta`,` pi/2ltthetalt(3pi)/ 2`

Prove that sqrt((1+sintheta)/(1-sin theta))=sectheta+tantheta .

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 that: sqrt((1-sintheta)/(1+sintheta))=sectheta -tan theta .

Prove that- (1-sintheta)/(1+sintheta)= (sectheta-tantheta)^2

Prove that- (1+sintheta)/(1-sintheta)= (sectheta+tantheta)^2

sqrt(2)sectheta+tantheta=1

(tantheta-sectheta)^2

Find sintheta , if sectheta+tantheta=3

(sectheta+tantheta-1)(sectheta-tantheta+1)=