Mastodawn

eevee Dec 3, 2019

① proof of concept was the doom text generator: https://c.eev.ee/doom-text-generator/

Doom Text Generator

eevee

② and yesterday i made a somewhat obtuse crossword: https://c.eev.ee/puzzles/the-nuclear-age.html

The Nuclear Age by Evelyn Woods

③ today i bring you: an interactive visualization of the six trig functions, which imo makes them make way more sense than basically anything i've seen https://c.eev.ee/viz/trig-functions.html

Trigonometric function visualization

@eevee oh gods thank fuck I always feel like I'm wasting everyone's time when I draw this up

Fun part: this also immediately proves all the pythagorean identities!

@CoronaCoreanici WAIT DOES IT

@eevee Yup! Drop cos to the x-axis where it belongs. Then look at ANY right triangle with the unit radius as one of its sides and tell me what you now know.

@eevee (hint: tangent lines to circles are perpendicular to the radii they intersect.)

@eevee side note: GODS do I ever fucking wish my actual students were this interested but the joy and curiosity and aesthetic appreciation of math have long since been beaten out of them :S

@CoronaCoreanici yes i know i just made a thing that had to make use of this property 8)

i mean there are similar triangles everywhere and that would be enough to prove it, except i don't see a similar one for the x side?

@eevee I'll draw you a thing when I get home!

@eevee Here you go!

Efi (nap pet) 🦊💤Dec 4, 2019

@eevee "six trig functions"
...
...
*brain breaking sounds*

@efi @eevee don't worry, three are just 1/ the other three XD

sec(x) = 1/cos(x)
csc(x) = 1/sin(x)
cot(x) = 1/tan(x)

and ofc
tan(x) = sin(x) / cos(x)
sin(x) = cos(x - π/2) ie just shifted sideways a bit on the wavey graph :3

so really there's always only been one trig function this whooole time :^3

Efi (nap pet) 🦊💤Aug 27, 2020

@codepuppy @eevee and hyperbolic ones

@efi @eevee *throws hyperbolic blanket over them* nuuuuuu don't go to the darkbolic side!

(X3)

That would be a good other visual aid though...

8^)

(no don't feel pressured Eevee XD )

@efi @eevee but in seriousness I think if you add them, there are three core functions

1 (circular) trig
2 hyperbolic trigs
:>

(which ones are "core" up to you ofc :3 )

the Hearth

Dec 4, 2019

@eevee But what about the most important trig function of them all, the haversine?

@Felthry Oh fuck i totally forgot about that

the Hearth

Dec 4, 2019

@eevee (it's actually very unimportant though it is actually a thing that was once important enough to be included in tables of trig functions)

@Felthry yeah i remember reading about these, the wikipedia article is actually the one place that has a diagram showing them all semi-clearly

Tathar is dragons! ΘΔ Dec 4, 2019

@Felthry @eevee

This whole list is a trip. https://en.wikipedia.org/wiki/List_of_trigonometric_identities#Historical_shorthands

Ethan 🌒Dec 4, 2019

@eevee so these functions are all like...lengths of chords or whatever. Interesting. My high school geometry teacher kinda sucked, on top of math education in the us being wack anyway. Super interesting graphic, thanks for sharing.

Federico Mena Quintero Dec 4, 2019

@eevee this is wonderful!

Kasil 💧Dec 4, 2019

@eevee
Maybe now I can remember which is which. That makes more sense than any representation I have ever seen.