" 4."(cos^(2)theta)/(sin theta)+sin theta=cosec theta

(cos^(2)theta)/(sin theta)-cosec theta+sin theta=0

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

Prove that : (1-sin theta cos theta)/ (cos theta (sec theta - cosec theta)) times (sin^2 theta - cos^2 theta)/(sin^3 theta + cos^3 theta) = sin theta

Prove that : (sin theta)/(1+cos theta) + (1+cos theta)/(sin theta)= 2 cosec theta .

(sin theta)/((1+cos theta))+((1+cos theta))/(sin theta)=2cosec theta

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

(cos theta cosec theta-sin theta sec theta)/(cos theta+sin theta)=cosec theta-sec theta

Show that (1 + cos theta)/(sin theta)+ (sin theta)/(1 + cos theta) = 2 cosec theta .

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

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