#Actually tbh it's more because you can use small angel approximations but those fall out of the taylor series too | Explore Tumblr posts and blogs

maeamian · 6 months ago

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I love radians as much as the next gal, particularly because of how they make the e^iπ-1 thing work out (it's because e is a circle in the complex plane) but I do think it's a little wild that most programs default to them over degrees the thing that most people who aren't mathematicians use because you gotta get at least to Taylor serieses before getting why radians are so sexy.

#Less that particular equation and more how beautifully the taylor series works out to give that #But at any rate I do think if I put sin(30) into a search engine it should give me .5 #Actually tbh it's more because you can use small angel approximations but those fall out of the taylor series too #When I say mathematicians I mean people doing serious calc in their work so also physicists and chemists #Plus probably other specializations I'm forgetting or am unaware of #All sorts of variations on those two certainly #the oceanographers for instance #My point is that radians are the superior angle unit for calculus based work #But it's a wash with degrees at best when it comes to geometry #and IMO people are doing geometry more than they're doing calculus #Radians are also basically useless when they aren't presented as fractions of π #Which can't be said about degrees #Anyone who tells you that they have a better grasp of fractions of π than of 90 is lying #Even if they are the sort of person who uses them enough to prefer the humble radian

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