prove that `sin^2theta/(1+costheta)+sin^2theta/(1-costheta)=2`

Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec "theta

Prove that : (sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2"cosec"theta

Prove that : (1+sin2 theta-cos 2theta)/(sin theta+cos theta)=2sin theta

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

Prove that: (sin2theta)/(costheta cos3theta)+(sin4theta)/(cos3theta.cos5theta)+(sin6theta)/(cos5theta.cos7theta)+… to terms = 1/(2sintheta) [sec(2n+1)theta-sectheta]

Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)

costheta-cos2theta=sin3theta

Prove that (Sintheta)/(1+Costheta)+(1+Costheta)/(Sintheta)=2"Cosec"theta

Solve: costheta+sintheta=cost2theta+sin2theta

(sin3theta-cos3theta)/(sintheta+costheta)+1 =