Well, when Bob finds a jacket, he can pick it up, stretch out the arms, and estimate the owner’s height. The armspan (fingertip to fingertip) is approximately the height.Without new words, humans are hard to describe: “There’s a sphere at the top, which gets scratched occasionally” or “Two elongated cylinders appear to provide locomotion”.Īfter creating specific terms for anatomy, Bob might jot down typical body proportions: Imagine Bob The Alien visits Earth to study our species. Trig functions are percentages to the three shapes.Visualize a dome, a wall, and a ceiling.I think you deserve better, and here’s what made trig click for me.
And “TOA” evokes the stunning beauty of an abstract ratio. The rest of us, with organic brains half-dedicated to vision processing, seem to enjoy imagery. Sure, if you’re a math robot, an equation is enough. TOA explains the tangent about as well as $x^2 + y^2 = r^2$ describes a circle. Trig mnemonics like SOH-CAH-TOA focus on computations, not concepts:
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