" 19.Prove that "(tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=(1+sec theta)/(cosec theta)

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

(tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec theta*cos ec theta

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

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

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

Prove each of the following identities : (tan theta)/((1-cot theta)) + (cot theta)/((1- tan theta)) = (1+ sec theta "cosec" theta)

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

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

Prove that (tan theta)/(sec theta-1)+(tan theta)/(sec theta+1)=2 "cosec"theta.