[" (i) "cosec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)],[" (ii) "(cos A)/(1+sin A)+(1+sin A)/(cos A)=2sec A]

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

Prove that (cosec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta) OR If sin theta+cos theta = sqrt(2) sin (90-theta) determine cot theta

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

cos ec theta(sec theta-1)-cot theta(1-cos theta)=tan theta-sin theta

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

Prove that (1+cosec theta -cot theta)/(1+cosec theta+cot theta)=(1-cos theta)/sin theta.

cos ect theta(sec theta-1)-cot theta(1-cos theta)=tan theta-sin theta

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

(sin theta+sec theta)^(2)+(cos theta+csc theta)^(2)=(1+cos ec theta sec theta)^(2)