1-(sin^(2)theta)/(1+cos theta)+(1+cos theta)/(sin theta)-(sin theta)/(1-cos theta)=

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

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

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

(sin^(2) theta)/(1-cos theta)-(cos^(2) theta)/(1-sin theta)=cos theta-sin theta

" 4."(sin theta)/(1+cos theta)+(1+cos theta)/(sin theta)=(2)/(sin theta)

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

(cos^(2)theta(1-cos theta))/(sin^(2)theta(1-sin theta))=(1+sin theta)/(1+cos theta)

2(cos theta+cos2 theta)+(1+2cos theta)sin2 theta=2sin theta

Prove each of the following identities : (i) (1+ cos theta + sin theta)/(1+ cos theta - sin theta) =(1+ sin theta)/(cos theta) (ii) (sin theta + 1- cos theta)/(cos theta - 1 + sin theta) = (1+ sin theta)/(cos theta)

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