[" Q.) "5" prove that "],[qquad (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 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) .

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

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

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

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

Prove that cos^2 theta cosec theta+sin theta=cosec theta

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

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