Prove `1/(1+sintheta)+1/(1-sintheta) = 2 sec^2 theta`

((1+sintheta))/((1-sintheta))=?

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

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

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

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

(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

Prove that sintheta/(1-costheta)=cosectheta+cot theta

Check whether the following equations are identities or not ? (i) (costheta)/(1-sintheta)=(1+sintheta)/(costheta) (ii) (1)/(1+costheta)+(1)/(1-costheta)=2"cosec"^(2)theta (iii) (sin^(2)theta)/(1-sin^(2)theta)=(1)/(3) (iv) sin^(2)theta+cos^(2)theta=1 (v) (1+costheta-sin^(2)theta)/(sintheta+sinthetacostheta)=cottheta (vi) 1+(tan^(2)theta)/(1+sectheta)=sectheta