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

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

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

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

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

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

Prove that (sin theta-cos theta+1)/(sin theta+cos theta-1)=1/(sec theta-tan theta) ,using the identity sec^2 theta=1+tan^2 theta .

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

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

Prove that :(cos theta-sin theta)/(cos theta+sin theta)=sec2 theta-tan2 theta

Prove the following identity : 1/(sec theta+tan theta)= (1-sin theta)/(cos theta) = sec theta-tan theta .