Question

How do you verify `-(1/2)sec²(x) = -2sin²(x)csc²(2x)`?

Answer 1

Rearrange using standard definitions

Explanation:

`-2sin^2xcsc^2(2x)=`
`-2sin^2x/sin^2(2x)=`
`-2sin^2x/(4sin^2xcos^2x)=`
`-1/2 1/cos^2x=`
`-1/2 sec^2x`