>>12295947Radians are not just a convention, they're real numbers that are most natural to use for all trig functions.
If you use sin(x) where x is in degrees instead, then d/dx(sin(x))=pi/180 cos(x) and you get these ugly factors.
>>12295055Nothing beautiful about it. You don't even know what it means apart from the definition (nor do I) and nobody cares.
>>12295070kek there's a schizo like you in every thread
>>12295044Not more beautiful. tau is a complete meme exclusively used and talked about by people not smart enough for actual math.
>>12295014There's more to the equation than this. The point is that the most natural extension of the exponential to the complex numbers gives you rotations when restricted to the imaginary axis.
