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

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

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

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

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

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

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

If sin theta+cos theta=1 then sin theta cos theta=

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