***** , I'm in the International Baccalaureate program. That **** is ******* 3x worse than AP classes. We weren't taught radians because they weren't important enough
I promise you you use Radians in ANY geometry course, it doesn't matter what country you learned it in--it might not be EXPLAINED to you that it's what you're doing, but you're using it if you've ever so much as found the circumference of a circle.
Think about the forumula--the radius (same length as a radian) times pi (half a circle) times two (the other half of the circle. C= 2 x pi x r. This gif is demonstrating how that formula was created.
Formulas aren't magic, they came from somewhere. Just because you don't yet *know* the concept doesn't mean you haven't been using it ever since someone taught you that formula.
...Then why did you say 'we really have no point of using them' if you already know that you're using them? I think your English may have failed you at the very least.
That doesn't make my response any different. 'At the least' implies that you still don't know whether or not there is a point to using them. Again, I think your English may have failed you.
That's how ****** education is in some places. I'm going to uni after I finish this year and I have A-Level maths. All we have been taught is that radians are an angle measurement unit and it's conversion to degrees. Apart from that no one cares about it.
I just knew it because the question popped up in my head by curiosity while doing homework.
Teachers probably know it but since it isn't on the program they don't even give a **** about any of these things. It's like you don't even need logic in math anymore, just memorize all the formulas and exercises you can and you are ready for the exams.
Maths student at university here Well Economics and Maths but same thing don't be picky , and although I believe I completely understand most of the common uses, application and the derivation, It is only from this picture that I figured out where it comes from/why it is used. I'm a ******** . You don't have to know where it comes from to use it well, though.
Yes they are. I learned basic calculus when I was 16. They do teach this stuff in most high schools. They teach it even earlier in most Asian countries.
And this site's average age is more like 15. It got even younger a while back when I suspect some college-age users were occupied with finals.
Admin publicly posted the average ages for this site, and it is still 18. And just because *you* learned it doesn't mean it's taught everywhere.
Not to mention this isn't part of calculus, this is something you would learn this in a trig class--which is not required in most high schools in the U.S. (And neither is calculus. There isn't a single state that *requires* either for high-school grad, unless your county had special rules you only took those classes because you did an advanced diploma program.) And you don't actually have to *explain* radians in order to teach the trig concepts, high schoolers don't think deeply enough to question (or care) why the radius is used in so many calculations.
because tau represents something different in every single engineering and physics class you'll ever take, whereas the only other thing (I can think of) that pi is used for, other than the fundamental constant, is a pion in particle physics.
still dumb. how about a completely new one, I call it the cirad! Symbol for it would be capital Q, because it looks like a circle with radius marked...
As someone who just finished first year eng and has yet to see a sigma used for anything other than a bond between sigma and/or hybridized orbitals care to inform me which classes sigma will **** my day up in?
It's more for the classical mechanics classes when working on static and dynamic forces. It comes into play when talking about principal/normal stresses on objects. Surface tension. It's also used in statistics when speaking about the deviation. And not to forget, it's used in operations management classes when discussing 6-sigma.
Finally, upper case sigma is mostly used to denote the summation of several numbers. I probably missed out on some from thermodynamics or other subjects.
So basically that video is why we should define an entire new constant that is simply a scalar multiple of an existing constant just to make trig easier for people learing it for the first time? No thanks.
The only example in that video was a modified euler's identity, which in itself already comes from a pre-existing formula that has nothing to do with what angle variable you plug into it, fact of the matter is that pi and radians aren't confusing in any way for anyone who has used them for more than one math class.
So he's not allowed to thumb you down, just because your motivations were based in curiousity? I don't mean to be rude but that's petty messed up in my books
I've always had a bit of a tendency to completely panic when I have to work with some of the more advanced mathematics. I did study basic physics at one stage, but while I was great at the theoretical side to it, I was useless with the numbers.
I actually dumbfounded the teacher at one stage, I asked a question about astrophysics, which I love, and he had no answer. If I remember what that question was, I'll comment it here and mention you.
At the simplest level, this is used when you're figuring out the circumference of a circle. A lot of people (myself included) have a hard time using formulas that they don't understand: if you understand radians, you understand why the circumference of a circle is pi times the radius(radian) times two. And obviously just about every other bit of math you could do with a circle all stems from that.
I study Engineering and we use it everyday. In Mathematics, in Electronics in Mechanics, in subjects such as Aero-acoustics, Thermodynamics and many more.
In fact there is no subject I can think of where we didn't use π or rad at least to some extent. So there is your everyday use^^
I know someone who learned it up to 100 decimal places and could recite it. Apparently it started off as a simple competition with a friend to know more and more decimal places and kinda got out of hand.
That's exactly what happened with me. I knew 50 in 5th grade, and then didn't learn any more until 10th. At my high school they had it painted all around the walls of the math pod, and I'd just memorize 5 more digits every couple days on my way to class.
That's a double pendulum. Think of one pendulum and attach another one at its end. The mathematical/mechanical relationships are quite easy, especially if you use energy methods like Lagrangian mechanics. But even though the relationships are short and sweet (nonlinear none the less) the time domain behavior (how it changes with time, like what you see in the .gif) is chaotic. Chaotic behavior basically means it looks like it does whatever the **** it wants.
It's a double pendulum. Theoretically, it's easy to map out the path it will make, but in practice it's almost impossible because the most minute of changes alters it drastically.
Well just imagine if we were actually taught like this.
That 20 second gif just explained a complex idea in a way we completely understood, where as it took a week or so in class just to get us to somewhat be able to pass the ******* workbooks they handed out.
And usually it was just one or two kids which everyone else copied off of.