Those of you with a basic knowledge of Complex Number Theory will know that in order to 'dissolve' the denominator of a term if the denominator contains i (or perhaps j if you're an engineer), then you must multiply numerator and denominator by the complex conjugate of the denominator.
As I was futilely attempting to obtain a useful expression for the phase response of a system, I was distracted by Thomas. On returning to my problem, I noticed that a term on the numerator cancelled with a term on the denominator.
"Thomas... look! They cancel! My god, this might make it all easier!"
"Damien, that term is the complex conjugate. They cancel because you put them there."
"...Oh."
Trust me - it's funny if you're sad :)
