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

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

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

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

Prove that : (sec 8theta - 1)/(sec 4theta - 1) = (tan 8theta)/(tan 2theta)

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

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+cos 2theta)/(1+sin2 theta-cos 2 theta)=cot theta

Prove that : (tan theta)/(1 -cot theta) + (cot theta)/(1- tan theta) = 1 + sec theta cosec theta

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

Prove that : (cos theta)/(1-tan theta) + (sin theta)/(1-cot theta) = sin theta + cos theta

Solve the equation (1-tan theta) (1+ sin 2theta) = 1 + tan theta