Prove that `sqrt[[1-sintheta]/[1+sintheta]]=sectheta-tantheta`

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

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

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

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

Prove that- 1-cos^2theta/(1+sintheta)=sintheta

Find sintheta , if sectheta+tantheta=3

sqrt(2)sectheta+tantheta=1

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

Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)