|*((1+cos theta)/(cos theta))((1-cos theta)/(cos theta))cosec^(2)theta=sec^(2)theta

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

(sin theta)/((1+cos theta))+((1+cos theta))/(sin theta)=2cosec theta

(sin theta)/(cosec theta)+(cos theta)/(sec theta)=1

(cos theta)/(cosec theta+1)+(cos theta)/(cosec theta-1)=2tan theta

(iii) (cos theta)/(csc theta+1)+(cos theta)/(csc theta-1)=2/cottheta

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

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

( 1 + cos theta) ( 1 - cos theta ) cosec^2 theta =

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

Prove that (cos ec theta)/(cos ec theta-1)+(cos ec theta)/(cos ec theta+1)=2sec^(2)theta