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

Prove that: (sin2 theta)/(1-cos2 theta)=cot theta

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

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

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

Prove that : (sin^(2) theta)/(cos theta ) + cos theta = sec theta

Prove that : (1+sin2 theta-cos 2theta)/(sin theta+cos theta)=2sin theta

Prove that (1)/(2){(sin theta)/(1+cos theta)+(1+cos theta)/(sin theta)}=(1)/(sin theta)

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

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