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

Prove that sin(2theta)/(1-cos2theta)=cot theta

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

Prove that (1 - cos 2 theta)/( sin 2 theta) = tan theta.

Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

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

Prove that : sin^(2)theta+(1)/(1+tan^(2)theta)=1

Prove that (2 sin theta - sin 2theta)/(2 sin theta + sin 2theta) = tan^2\ theta/2

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