" (vii) "(1-cos theta)/(1+cos theta)=(cot theta-cosec theta)^(2)

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

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

cos theta . Cosec theta = cot theta

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

Prove that (i) (1- sin theta)/(1+ sin theta)=(sec theta - tan theta )^(2) (ii) ((1+cos theta))/((1- cos theta))= ("cosec" theta + cot theta)^(2)

(cot theta sec theta)^2-(cos theta. cosec theta)^2=1

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

Prove the following identity : sqrt ((1-cos theta)/(1+cos theta)) = cosec theta-cot theta .

Prove the trigonometric identities: sqrt((1-cos theta)/(1+cos theta))=csc theta-cot theta