(cot theta+cosec theta-1)/(cot theta-cosec theta+1)=cosec theta+cot theta

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

(1)/(cosec theta+cot theta)=cosec theta-cot theta

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

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

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

prove that (cosec theta + cot theta)/(cosec theta- cot theta) = (cosec theta +cot theta)^2

prove that tan theta/(sec theta+1)+cot theta/(cosec theta+1)=cosec theta+sec theta-cosec theta. sec theta

(cot theta + "cosec" theta -1)/( cot theta - "cosec" theta +1) is

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

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