6 votes

Why do standard geometry textbooks not start with trigonometry?

Here is a late but brief answer to the question: If this is the normal way of teaching geometry, why? Why is the course focused more on memorizing theorems rather than understanding where they come ...
Daniel R. Collins's user avatar
3 votes

Multiple proofs for the same problem

It just crossed my mind that I can offer you some option you haven't probably considered yourself. Once I experimented in my calculus course (which also involved some elements of analytic geometry and ...
fedja's user avatar
  • 3,831
2 votes

Interesting Trigonometry problems

I would like to suggest following challenges, Geometric proof of sum and product of three tangents of a triangle are equal for obtuse-angled triangles. (https://www.janakasrodrigo.com/wp-content/...
Janaka Rodrigo's user avatar
1 vote

Pythagoras and Trigonometry sequencing

I learnt about Pythagoras before I started learning about trigonometry. I have learnt the Pythagoras proof, using uniform triangles, but there is also this very popular proof of the Pythagoras theorem:...
Dominique's user avatar
  • 1,728
1 vote

Multiple proofs for the same problem

At the college level, see here, here, here, here, and here. Only the first link is suitable for high school courses.
KCd's user avatar
  • 3,456
1 vote

Symmetry in polar functions - how to explain

A given point with polar coordinates $(r, \theta)$ has a doubly infinite set of representations $(r,\theta+2n\pi)$ and $(-r,\theta+(2n+1)\pi)$, for integer $n$. When checking for symmetry they should ...
Maesumi's user avatar
  • 1,212

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