This is wonderful, Becca! I've been starved for some TC fic that's actually well-written. This fits the bill ever so nicely.

I used to really love Matt, but now that I've seen the chemistry between Tyler and Caroline, I'm all Matt who? I completely understand why she'd be torn between them though.

Really clever with your "right triangles" and the sin/cos/tan of it all.

Great job! :)