Simplify `(sin^(2)theta)/(cos theta+1)-(sin^(2)theta)/(cos theta-1)`

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

What is the simplified value of [(cos^(2) theta)/(1+sin theta)- (sin^(2) theta)/(1 + cos theta)]^(2) ?

Simplify [(sin theta)/(cos theta)+(cos theta)/(sin theta)]^(2)

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

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

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

Simplify: (sin8 theta cos theta-sin6 theta cos3 theta)/(cos2 theta cos theta-sin3 theta sin4 theta)

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

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

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