`sin theta/(1-cos theta)`

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

If u=(1+cos theta)(1+cos 2theta)-sin theta.sin 2theta, v=sin theta(1+cos 2theta)+sin 2theta(1+cos theta) , then u^(2)+v^(2)=

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

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

Prove that (costheta)/(1-sin theta)+(1-sin theta)/(cos theta)=2sec theta .

If (3sin2theta)/(1-cos2theta)=1/2 and 0^(@)letheta180^(@) , then theta =

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

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

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