11–20 of 33 posts
Very nice! I had a trig teacher years ago that taught only using formulas, without showing or explaining the unit circle. It was so confusing, hated the class until I discovered the unit circle diagram like this, then it all made much more sense.
So our most famous and important trig term is basically an error.
This is awesome! It might also make sense to draw out the sine or cosine curves as the point moves about the circle.
Interesting, I have always visualized tangent differently. A line perpendicular to the X axis that stops at the intersection with the extension of the radius line.
Interesting fact, the sine is a mistranslation of the original Arabic abbreviation jb, which itself is a transliteration of the Sanskrit word for half the chord, jya-ardha. Basically the original translator they thought that the word was jaib ("bosom"), which was then translated to sinus which means much the same word. So our most famous and important trig term is basically an error.
(Also, my username is relevant)
Interesting fact, the sine is a mistranslation of the original Arabic abbreviation jb, which itself is a transliteration of the Sanskrit word for half the chord, jya-ardha. Basically the original translator they thought that the word was jaib ("bosom"), which was then translated to sinus which means much the same word. So our most famous and important trig term is basically an error.
Since sinus also refers to a curved surface, this is surprisingly apt.
Interesting, I have always visualized tangent differently. A line perpendicular to the X axis that stops at the intersection with the extension of the radius line.
I think its same thing just in another point of view, here i rotate the canvas to explain my thought: https://image.ibb.co/ce0rye/qwe.png
The color schemes we used are similar, I kind of copied mine from this image on Wikipedia: https://en.wikipedia.org/wiki/Trigonometric_functions#/media... I wonder if the author of this site did the same?
What would be REALLY cool would be a connection between this diagram and the graphs of the functions: https://en.wikipedia.org/wiki/Trigonometric_functions#/media...
something like this: https://www.geogebra.org/m/cNEtsbvC
Very nice! I had a trig teacher years ago that taught only using formulas, without showing or explaining the unit circle. It was so confusing, hated the class until I discovered the unit circle diagram like this, then it all made much more sense.
That was my exact motivation while making this! This visualization helps me alot to understand trigonometry so i think it will be good to make a sandbox out of it. I hope this helps somebody who trying to understand basics of trigonometry.
