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

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

Prove that (cot theta -cos theta )/( cot theta +cos theta ) =(cos ec theta -1)/( cosec theta +1)

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

(sintheta+sin2theta)/(1+costheta+cos2theta)

Solve (3 sin theta-sin 3 theta)/(sin theta)+(cos 3 theta)/(cos theta)=1 .

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

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

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