All Six Trig Functions Are Just Lengths on One Circle.

As long as there is form, pattern and structure, it's all mathematics.

So said it so beautifully. :)

Why fourier and resonance should be the fundamentals of all science frameworks

Trig functions should make an expanding circle rather than going around a circle

How will that work? Explain sir.

Throw a rock into the duck pond

I love trig. The entire universe in a circle.

Me thinking about math 🗿 Me actually in math 🤡

Haha… we all feel that at some point.

I wish this graphic was slower. I also wish someone explained how this was discovered and by what need.

Great visual. The tangent/secant lengths blowing up as θ→90° is the geometric reason those functions have vertical asymptotes there.

Thanks for the kind words.

@grok the circle and these triangles hurt my smooth brain so much it feels like im learning.

yeah its epic

To me the fact that you use degrees rather than radians dilutes the message .

@WillianBR Wow so, easy to understand what actually graph doing 💯👍🙌

@WillianBR Indeed, for the same reason I made it.

made that much simpler hehe

Yes, but it took a little more time to make.

And a circle still has an infinite number of °'s.

HS trig must be so much more easy for kids these days.

This is so good

Thanks mate. 🙏

yes. That is their definition.

Indeed it is.

Good

これはジョークですか？ 一つの円上の長さと言うのは意味不明ですね。 sinθ＝ｂ／c はピタゴラス由来の三角関数論の常識ですよ。 cは直角三角形の斜辺の長さですが、どこの消えてしまったと言うのでしょうか？ リーマン予想　証明完了！

“Just”

I prefer to think of it as the line being fixed and it's the space that's rotating.

Funny how many will see this and think they get it but don’t get it

omg this is so deep... what's the radius of your sanity? 🔥

Best work with the unit radius.

空から女の子が落ちてくる！！！

tanは何がしたいのか分からない

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Seeing all six trig functions as pure lengths is actually beautiful math

As long as there is form, pattern and stucture, it's all mathematics

Favorite tweet all year

三角関数か？

Except in this illustration the large and infinite quantities like sec have been truncated to fixed lengths which makes them look like (1-cos) rather than 1/cos.

I like this

Amazing!