" Prove that: "(cos theta)/(1-tan theta)+(sin theta)/(1-cot theta)=sin theta+cos theta

prove that (cos theta)/(1-tan theta)+(sin theta)/(1-cot theta)=cos theta+sin theta

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

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

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

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

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

Prove that (cos^(2) theta)/(1-tan theta)+(sin^(3) theta)/(sin theta - cos theta) =1 + sin theta cos theta .

Prove that: (cos theta)/(1 + sin theta) = sec theta - tan theta

Prove that sin theta(1+tan theta)+cos theta(1+cot theta)=sec theta+cos ec theta

Prove each of the following identities : (cos theta) /((1- tan theta)) - (sin^(2) theta)/((cos theta - sin theta)) = (cos theta + sin theta)