(0.5;1)1+(cot^(2)theta)/((1+cosec theta))=cosec theta

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

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

(b) cosec theta=1+cot theta

(b) cosec theta=1+cot theta

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

Prove the following identity : (cot^2 theta)/((1- cosec theta)^2)= (1+sin theta)/(1-sin theta) .

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

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