Some visually stunning concepts of maths which are easy to explain

Since I’m not that good at mathematics, I have always liked concepts like the dragon ratio and golden curve, which are easy to understand and explain but they are also mathematically beautiful at the same time.

Do you know some other concepts like these?

Answer

circle trig animation

I think if you look at this animation and think about it long enough, you’ll understand:

  • Why circles and right-angle triangles and angles are all related.
  • Why sine is “opposite over hypotenuse” and so on.
  • Why cosine is simply sine but offset by \(\pi\over 2\) radians.

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