[" 19.(i) "(tan theta)/((sec theta-1))+(tan theta)/((sec theta+1))=2cosec theta],[" (ii) "(cot theta)/((cosec theta+1))+((cosec theta+1))/(cot theta)=2sec]

Prove each of the following identities : (i) (tan theta)/((sec theta -1)) + (tan theta)/((sec theta +1)) = 2 "cosec" theta (ii) (cot theta)/(("cosec" theta +1))+ (("cosec" theta +1))/(cot theta ) = 2 sec theta

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

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

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

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

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

Show that cot theta +tan theta =sec theta cosec theta