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

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) ?

If (sin^(2)theta)/(1+cos^(2)theta)+(sin^(2)theta)/(1-cos^(2)theta)=(8)/(5)andtheta is acute , then what is the value (in degrees ) of theta ?

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

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

Prove the following identities: 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0sin^(6)theta+cos^(6)theta+3sin^(2)theta cos^(2)theta=1(sin^(8)theta-cos^(8)theta)=(sin^(2)theta-cos^(2)theta)(1-2sin^(2)theta cos^(2)theta)

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

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

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