Simplify `(sin^2theta)/(1-costheta)`

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

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)

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

Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+sintheta[{:(sin theta ,-costheta),(costheta, sintheta):}]

Evaluate the simplified value of (1+cot^(2)theta)(1-costheta)(1+costheta) .

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

Simplify cos^2theta-sin^2theta

Prove that: (sin^2theta)/(costheta)+ cos theta = sec theta.

If sqrt3costheta=sintheta , then the value of (4sin^(2)theta-5costheta)/(3costheta+1) is: