Prove that `cot(A/2)=(sin A)/(1-cos A)`

Prove that :(1+cot A+tan A)(sin A cos A)=sin A tan A cot A cos A

Prove that: (cos A - sin A + 1)/(cos A + sin A -1) = "cosec"A + cot A

Prove that: (cosec A-sin A)(sec A-cos A)=(1)/(tan A+cot A)

Prove that (cot A-cos A)/(cot A+cos A)=(cos ecA-1)/(cosecA+1)

prove that cot^(-1)[(cos x+sin x)/(cos x-sin x)]=(pi)/(4)-x

prove that (cos A-sin A + 1) / (cos A + sin A-1) = cos ecA + cot A

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 (sin2A)/(1-cos2A)=cot A

Prove that (cos x)/(1+sin x)=(cot ((x)/(2))-1)/(cot((x)/(2))+1)