" 19.(i) "(tan theta)/((sec theta-1))+(tan theta)/((sec theta+1))=2csc theta

(tan theta)/(sec theta-1)+(tan theta)/(sec theta+1)=2cos ec| theta

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

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

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

(tan theta)/(sec theta+1)+(sec theta+1)/(tan theta)=2cos ec theta

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

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

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

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