@dendari @phaedral @Infrapink @jacquiharper
The crazy thing is... in a way it *is* the same tangent, or at least for a circle.
Most people know that you can plot a circle using:
x=cos theta
y=sin theta
And let theta go from 0 to 2pi (or 0 to 360 if you like)
Because the x and y co-ordinates of a circle are parametrized by the sin and cos.
Tangent has a geometric meaning here too. And this is why it increases without bound as theta gets close to pi/4 (90 degrees)
https://sauropods.win/@futurebird/113529453871147494
2024-11-23 catselbow ┃ edited ┃ 4👤
@futurebird @dendari @phaedral @Infrapink @jacquiharper
Going off on a tangent (ha!), my favorite way of parametrizing a circle of radius 1 is:
[…]
@futurebird @dendari @phaedral @Infrapink @jacquiharper
I would like to read a proof that shows that the length of the green line here is always equal to the ratio of the blue line length to […]
@futurebird @dendari @phaedral @Infrapink @jacquiharper neat!
@futurebird @dendari @Infrapink @jacquiharper Futurebird: I've got a /visual/ that I cannot articulate, for how the line at a tangent to the semi-circle could be used to re-create the trig […]
@futurebird @phaedral @Infrapink @jacquiharper
This is why we need to teach understanding math and not just how to do it.
────
