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

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

Prove that: (cos2 theta)/(1+s in2 theta)=tan((pi)/(4)-theta)

Prove that (1+sin theta)/(1-sin theta)=tan^2(pi/4+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+sin2 theta)/(1-sin2 theta)=((1+tan theta)/(1-tan theta))^(2)

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

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

Prove that: (cos(2 pi+theta)csc(2 pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)cos theta cot(pi+theta))=1

Prove that: (sin2 theta)/(1+cos2 theta)=tan theta