Prove that
`(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta`

Prove that (sin2theta)/(1-cos2theta)=cottheta

Prove that (1+sintheta-cos theta)/(1+sin theta+costheta)=tantheta//2

Given that 1-costheta=2sin^2(theta/2) and 1+costheta=2cos^2(theta/2) prove that (1+sintheta-costheta)/(1+sintheta+costheta)=tan(theta/2)

Prove that (sin2theta)/(1+cos2theta)=tantheta

Prove that sin (3theta)/(1+2cos 2theta)=sin theta .

Prove that cos^2theta=(1+cos2theta)/2

Solve costheta+cos3theta-2cos2theta=0 .

Prove that (tan5theta+tan3theta)/(tan5theta-tan3theta)=4cos2thetacos4theta

Prove that sintheta+sin3theta+sin5theta+sin7theta=4costhetacos2thetasin4theta

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