[" 21.(i) "sqrt((1+sin theta)/(1-sin theta))=(sec theta+tan theta)],[" (ii) "sqrt((1-cos theta)/(1+cos theta))=(csc theta-cot theta)],[" (iii) "sqrt((1+cos theta)/(1-cos theta))+sqrt((1-cos theta)/(1+cos theta))=2csc 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

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

sqrt((1-cos theta)/(1+cos theta))=cosec theta-cot theta (Prove It)

Find the value of sqrt((1+cos theta)/(1-cos theta))+sqrt((1-cos theta)/(1+cos theta))

Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-cos theta)/(1+cos theta))=2 " cosec"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)

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

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

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

Prove the following identities: sqrt((1-cos theta)/(1+cos theta))-cosec theta=cosec theta-sqrt((1+cos theta)/(1-cos theta))