(i)1+(cot^(2)theta)/((1+cosec theta))=cosec theta

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

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

1+(cot^(2)theta)/(1+csc theta)=csc theta

(b) cosec theta=1+cot theta

(b) cosec theta=1+cot theta

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

If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. cosec theta+cot theta , b. cosec theta - cot theta , c. cot theta-cosec theta , d. -cosectheta - cot theta

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

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

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