Question

Prove that ? Sec^2 x + cosec^2 x = sec^2 x . cosec^2 x

Answer 1

`LHS=sec^2x+csc^2x`

`=1/(cos^2x)+1/(sin^2x)`

`=(sin^2x+cos^2x)/(sin^2x*cos^2x)`

`=1/(cos^2x*csc^2x)=sec^2x*csc^2x=RHS`