Working All the Angles

If

[sin ⁴x - cos ⁴x] / [sin ²x - cos ²x]

and you factor the denominator

 [sin ⁴x - cos ⁴x] / [sin ²x - cos ²x] = [sin ²x - cos ²x][sin ²x + cos ²x] / [sin ²x - cos ²x] 

and simplify 

 = [sin ²x + cos ²x] = 1 

and further simplify 

x = whiskey  (and yes, I'll have 1)

That's my theory and I'm sticking to it.

You all have a good night.  My brain is tired and it's cold in Hoosierville so I'm taking a night off to relax. No computer, just music, a warm, furry lab and a small neat glass.  Those of you that can, should do the same.  

Cheers - B.