" 6."quad (1+cos theta)/(1-cos theta)-(1-cos theta)/(1+cos theta)=4cot theta cosec theta

Prove that (1+cos theta)/(1-cos theta)+(1-cos theta)/(1+cos theta)=4cot theta*cos theta

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

(sin theta)/(1-cos theta)=cos ec theta+cot theta

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

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

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

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

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

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

prove that (1-cos theta)/(1+cos theta)=(csc theta-cot theta)^(2)