Prove that `(cos theta+sin theta)/sintheta=1+cottheta`

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

Prove that (cos theta-sintheta)/(cos theta+sintheta)=sec 2 theta-tan 2theta .

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

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

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

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

If x=(2sin theta)/(1+cos theta+sin theta), then prove that (1-cos theta+sin theta)/(1+sin theta) is equal to x

Prove that : (1+costheta- sin^(2)theta)/(sintheta+sinthetacostheta)=cottheta

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))