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

Prove that (1+ cot theta + tan theta ) ( sin theta - cos theta) = (sec theta )/(cosec^(2) theta) - (cosec theta)/(sec^(2)theta) .

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

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

(cot theta)/((cosec theta+1))+((cosec theta+1))/(cot theta)=2sec theta

((sec theta+tan theta)(1-sin theta))/ (cosec theta(1+cos theta)(cosec theta-cot theta)) is equal to: ((sec theta+tan theta)(1-sin theta))/ (cosec theta(1+cos theta)(cosec theta-cot theta)) का मान किसके बराबर है?