Surprises me when people hate on trigonometry. I enjoyed trig in high school so much that I made it my internet alias.
Oh and I guess negative b plus or minus b squared something something four a c over two a. I think there’s a square root to shove most of that into.
SOHCAHTOA.
And by God, I never have. Thanks Mr. Wilkinson.
"Spitfire or Hurricane come and hurry to our aid"
This works for me as the order of the functions matches the order shown on my trusty FX82A. Your version is kind of messed up.
I am giving this AI thing a wide birth, however, could we ask a LLM to invent a new aide memoire for this? We have got the silent generation and the boomers covered, but is there something we can do for kids today? Maybe it references Cinnamoroll, Hello Kitty or Octonauts characters that actual kids know, without it being ultra-violent.
Your order is cosine, sine, tangent - CST. A quick look at the other examples here seem to prefer SCT - as do I but only because that is what I was taught.
I also note your mnemonic is very different to the one I learned in having the function name last. So AHC vs CAH.
There is no right or wrong here but I'm sure we can agree that there are loads of mnemonics for these basic trig formulae and nationality isn't involved.
I also went to a lot more schools than normal, thanks to living in multiple countries and my dad (army) moving every 18 months or so!
sohcahtoa is nearly a word.
I guess this is the version we use in Australia.
Translation: I'm not handsome, if I were handsome, Tipah (our principal) would like me"
25 years ago and I still remember it clearly. Also it was middle school education on how to solve problems in a different space; this one solving math in a second language space lol
A - Adjacent T - Tangent C - Cosine
And the quadratic equation...yeah, I don't remember that one.
For example, knowing that cosine and sine are the exact same wave, just 90 degrees out of phase, it's trivial to know that sin(angle) = cos(angle + 90)
cos(a)^2 + sin(a)^2 = 1 is easy to show, too. If you use a=0, it's trivial. But try using 45 degrees. It turns into (sqrt(2)/2)^2 + (sqrt(2)/2)^2 which simplifies to 0.5 + 0.5 = 1.
Many of the others can be derived by just manipulating the Law of Sines or Law of Cosines. Fun fact: The Pythagorean Theorem is actually just a special case of the Law of Cosines:
c^2 = a^2 + b^2 - 2*a*b*cos(C)
Recall that in the Law of Cosines as I've written it, the lowercase letters are the sides, and the large C is the angle opposite that side. So if you choose your hypotenuse to be c, then the opposite angle, C, is 90 degrees. cos(90) is 0, so that whole last term gets cancelled out and you're left with the equation known as the Pythagorean Theorem.
I really wasn't kidding when I said I enjoyed trig.
Knowing that cos(45) == sqrt(2)/2 seems like something you would need to memorize, but if you just draw an isosceles right triangle with sides equal to 1 and use the Pythagorean Theorem you'll find that the hypotenuse is sqrt(2)/2.