(8) `(1+sin theta)/(1-sin theta)=(sec theta+tan theta)^(2)`

Prove that (i) (1- sin theta)/(1+ sin theta)=(sec theta - tan theta )^(2) (ii) ((1+cos theta))/((1- cos theta))= ("cosec" theta + cot theta)^(2)

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

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

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

(1)/(1-sin theta)-(1)/(1+sin theta)=2sec theta*tan theta

Prove that sqrt(1+sin theta)/sqrt(1-sin theta)=sec theta + tan theta ,-(pi)/(2) lt theta lt (pi)/(2)

Prove that : sqrt((1-sin theta)/(1+sin theta))= {(sec theta- tan theta, if -pi/2 < theta< pi/2), (-sec theta+ tan theta, if pi/2 < theta< (3 pi)/2):} .

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):} .

sqrt((1-sin theta)/(1+sin theta))={sec theta-tan theta, if -(pi)/(2)

Prove that (1+sin theta)/(1-sin theta)-(1-sin theta)/(1+sin theta)=4sec theta tan theta