/sci/ - Science & Math

>>11165013
If alpha is bottom right angle, we can apply basic trigonometric rules to get
[math]i = 0\sin{\alpha}[/math] , or [math]\sin{\alpha} = \frac{i}{0}[/math]
[math]1 = 0\cos{\alpha}[/math] , or [math]\cos{\alpha} = \frac{1}{0}[/math]
And if we accept that [math]y * \frac{x}{y} = x[/math] also applies to [math]y = 0[/math] for the sake of the memes, then you get a perfectly normal functioning triangle and every other right triangle and trigonometric identity holds, like for an example the law of cosines:

[math]c^2 = a^2 + b^2 - 2ab\cos{\gamma}[/math]
[math]0^2 = i^2 + 1^2 - 2i \cos{\frac{\pi}{2}}[/math]
[math]0 = 0[/math]

[math]a^2 = b^2 + c^2 - 2bc\cos{\alpha}[/math]
[math]i^2 = 1^2 + 0^2 - 2 * 0*\frac{1}{0}[/math] (you lose commutativity here)
[math]-1 = -1[/math]

[math]c\sin{\alpha} = a\sin{\gamma}[/math]
[math]i = i[/math]

etc