Question

How do you verify `(csc(t) + cot(t)(csc(t) - cot(t)) = 1`?

Answer 1

`(cscx+cotx)(cscx-cotx)=1`
`csc^2x-cotx*cscx+cotx*cscx-cot^2x=1`
`csc^2x-cot^2x=1`
`(1+cot^2x)-cot^2x=1`
`1=1`