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

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

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

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

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

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

Prove each of the following identities : (1+ tan^(2) theta)(1+ cot^(2) theta)=(1)/((sin^(2) theta- sin^(4) theta))

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

(sintheta+sin2theta)/(1+costheta+cos2theta) =

(sintheta+sin2theta)/(1+costheta+cos2theta)=?

Prove the following Identities (1+sin theta-costheta)/(1+ sintheta+costheta)= tan(theta/2)