" 38.Prove that "(sin theta)/(cot theta+csc theta)=2+(sin theta)/(cot theta-csc theta)

(sin theta)/(cot theta+cosec theta)=2+(sin theta)/(cot theta-cosec theta)

Prove that (sin theta)/((cot theta+cosec theta))-(sin theta)/((cot theta-cosec theta))=2

Prove the following identity : (sin theta)/(cot theta+ cosec theta)=2+ (sin theta)/(cot theta- cosec theta) .

Prove that: (sin theta)/(cot theta + "cosec"theta) = 2 + (sin theta)/(cot theta - "cosec"theta)

Prove each of the following identities : (sin theta)/((cot theta + "cosec" theta )) - (sin theta)/((cot theta - "cosec" theta))= 2

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

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

Prove that : (sin theta)/(1 - costheta) = cosec theta + cot theta

Prove that : (sin theta)/(1 - costheta) = cosec theta + cot theta

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