22.((1+sin theta)^(2)+(1-sin^(2)theta))/(2cos^(2)theta)=(1+sin^(2)theta)/(1-sin^(2)theta)

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

(1)/(sin^(2)theta)-(cos^(2)theta)/(sin^(2) theta) =___.

Prove: sin^(8)theta-cos^(8)theta=(sin^(2)theta-cos^(2)theta)(1-2sin^(2)thetacos^(2)theta)

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

Prove the following identity: ((1)/(sec^(2)theta-cos^(2)theta)+(1)/(cos ec^(2)theta-sin^(2)theta))sin^(2)theta cos^(2)theta=(1-sin^(2)theta cos^(2)theta)/(2+sin^(2)cos^(2)theta)

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

Evaluate int{log((1+sin2theta)/(1-sin2theta))^(cos^(2)theta)+log((cos2theta)/(1+sin2theta))}d theta .

Prove that-: cos^4theta/(1-sin^4theta)=(1-sin^2theta)/(1+sin^2theta)