" (xii) "(1-sin theta)/(1-sec theta)-(1+sin theta)/(1+sec theta)=2cot theta(cos theta-cosec theta)

(tan theta)/(sec theta-1)-(sin theta)/(1+cos theta)=2cot theta

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

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

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

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

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

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

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

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

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