From the day I learned Calculus, I noticed that I had become obsessed with learning how certain things worked. While it is fun to understand how certain things work, it is even more entertaining to learn about how something was discovered. Furthermore, it is most amusing to learn how something works or exists on our own. For example, knowing that 2•2=4 isn’t very rewarding for a child. However, understanding why 2•2=4, demonstrating it with wooden blocks, is extremely rewarding.
That is why it is so enjoyable to come up with and read about proofs. To write out a proof takes skill outside of coming up with it. Many times, brilliant people struggle to write out why certain things are the way they are. Putting into writing a certain proof should have its own education. Sadly, schools don’t teach students about proofs, what they are, and how they are come up with. I genuinely hope this will get mended soon. If you want to learn how to fabricate proofs, I suggest you read ‘How to solve it’ by George Polya.
First of all, I would like to mention that the person who first proved the theorem I will demonstrate below didn’t stumble upon it accidentally. He discovered this truth because he is a brilliant individual. Furthermore, he performed this with a few fundamental trigonometric ideas. That shows that you can…
