>inb4 homework
This is not homework. It's a legitimate challenge I made for myself based on a homework question. I believe everyone here is familiar with the typical demonstration that ?6 ? Q. I find it a boring and unusual demonstration using even and odd numbers.Now here is the challenge: I wonder if it's possible to prove ?6 ? Q using trigonometry.


I tried creating a right triangle where I established a hypotenuse measuring 2?2 and a 30 degree angle (which would give me a side measuring ?6).