[hline13,[" Prove the following identity "],[(1+cos theta+sin theta)/(1+cos theta-sin theta)=(1+sin theta)/(cos theta)]]

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

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

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

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

Prove the following identities: (cos theta)/(1-sin theta)+(cos theta)/(1+sin theta)=2sec theta

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

Prove the following identity : (1-cos theta)/(sin theta)= (sin theta)/(1+cos theta) .

Prove the following identity : (sin theta)/(1-cos theta)= (1+cos theta)/(sin theta) .

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