Prove that `(1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tantheta))^2`

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tan theta))^(2)

Prove that (1+sin2 theta)/(1-sin2 theta)=((1+tan theta)/(1-tan theta))^(2)

prove that :(1-sin2 theta)/(1+sin2 theta)=((1-tan theta)/(1+tan theta))^(2)

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

Solve: (1-tantheta)(1+sin2theta)=(1+tantheta)

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

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

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

Prove that: a) (sin2theta)/(1+cos2theta) = tantheta b) (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta

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