" Prove that : "(cot theta)/(cosec theta+1)+(cosec theta+1)/(cot theta)=2sec theta

Prove that (cot^(2)theta)/(cosec theta+1)=cosec theta-1

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

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

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

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

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

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)