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

Explanation

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


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


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


`((1+sim^2 theta))/((1-sin^2theta))`