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It's about stuff.
Logs will be always awesome
http://youtube.com/watch?v=dPHtKarae2Q
@Necrophia: Oh God, the memories!
Trig…treating the web like a real-life videogame!
Literal things!
Serious issues? On my Walfas?
God, I hated trig. Glad that’s over, though Stats is just as bad.
I hate to brake it to you but… Triangles aren’t real. There’s only 3d objects, there are no 2d objects or even 1d ones.
Oh man, just wait until you meet antiderivatives/integrals.
So much *FUN.*
mmmmmm delicious derivation.
Yeah tho, wait for Law of Sines and Law of Cosines. If you’re lucky, you’ll get to PROVE them too.
Damn you Triiiiig! *spellcard*
Trigonometry is no laughing matter. :o
“I hate to brake it to you but… Triangles aren’t real. There’s only 3d objects, there are no 2d objects or even 1d ones.”
Except for in the 3D computer-graphics world, when triangles are the only things. Even 2D sprites (in 3D worlds) are in fact made up of 2 triangles. Since the (modern) Touhou games use Direct3D and DirectDraw, your favourite characters’ sprites are in fact 2 triangles. ;P
…Now look what you’ve made me do. Can someone go and get Cirno? We need this place purged of technical-ness.
I envy thee. [Calculus student]
Trig and exponent/log stuff isn’t completely unrelated
e^(i*theta) = cos(theta) i*sin(theta)
We did trig before precalc, and its one of those things that I ended up using every day.
Also Cosine Trig graph reminds me of that spell card Sanae has in MoF.
Whoops. That’s supposed to say
e^(i*theta) = cos(theta) i*sin(theta)
余弦「トリゴノメトリカルグラフ」
What a horrible spell card!
.. I can’t look at triangles the same ever again
Oh you, trigonometry. I hate you so much, my memories of you faded away. I hope to never ever see you again in my life.
And hey, Trig even uses unavoidable danmaku! HE’S CHEAP.
“I hate to brake it to you but… Triangles aren’t real. There’s only 3d objects, there are no 2d objects or even 1d ones.”
If they aren’t real, then we have to use imaginaries right? Isn’t that something different, though? I hate math.
You think trig is hard? Wait until you get into Pre-calc. It’s way harder the Calculus.
ITT whiners
Take some Real Analysis or Abstract Algebra and then get back to me. Or how about studying Markov Chains or Complex Eigenvectors or Partial Differential Equations or Linear Programming or Non-Euclidean Geometry? You’ll WISH you have your precious trig and calc back.
(In fact, trig functions are probably the easiest derivatives/integrals out there! Hooray sine and cosine for making a complete loop!)
;_; I actually liked Trig, I got a full 100% for the unit.
HAHAAH Differenciate Equations are tougher, XD, i just tryed to solve a simple problem and took about 1 hour adn never finished it, here’s the problem =
Dx=y
Dy=z
Dz=x
And the answer was very, very long, i wom’t even write it but, ti was a lot of X= C1e^t C2te^-t c3cos(3t) i don’t remmeber the rest
Y= more randomness…………………..
Z= sill more—————————-
at least Laplace is a bit easier
Something like=
***** X(s) : x of s Y(s): y of s L{}: Laplace of
X” 3y’ 3y=0
X” 3y=t*e^(-t)
x(0)=0; x'(0)=2;y(0)=0
L{X” 3y’ 3y=0}=
s^(2)x(s)-sx(0)-x'(0) 3sy(s)-y(0) 3sy(s)=0
s^(2)x(s)-2 3sy(s) 3sy(s)=0
s^(2)x(s) 3sy(s) 3y(s)=2
L{X” 3y=t*e^(-t)}
s^(2)x(s)-sx(0)-x'(0) 3sy(s)=1/((1 s)^(2))
s^(2)x(s) 3sy(s)=1/((1 s)^(2)) 2
s^(2)x(s) 3sy(s)=1/((1 s)^(2)) 2
s^(2)x(s) 3sy(s) 3y(s)=2
{s^(2)x(s) 3sy(s)=1/((1 s)^(2)) 2 } *1
{s^(2)x(s) 3sy(s) 3sy(s)=2 } *-1
-3sy(s)=1/((1 s)^(2))
y(s)=-3s(1/((1 s)^(2)))
L^-1{} : Inverse Laplace
L^-1{y(s)=-3s(1/((1 s)^(2)))}:
y(t)=t/(3e^t) 1/(3e^t)-1/3
x”=-3y’-3y replace y and y’ for y(t) and Derivate(y(t))
Double integrate (x”=-3y’-3y)
X(t)= t^2/2-e^(-t) C1t C2
C1 & C2 are constants to be found
X(0)=0; when t=0 x=0
X(0)= t^2/2-e^(-t) C1t C2
0 = 0 -1 0 C2
C2=-1
X'(0)=2; when t=0 x=2
X'(0)= Derivate(t^2/2-e^(-t) C1t C2)
X(0)= e^(-t) t C1
2 = 1 0 C1
C1=1
so C2=-1;C1=1; as a result
X(t)= t^2/2-e^(-t) 1*t 1
X(t)= t^2/2-e^(-t) t 1
our final answer would be:
y(t)=t/(3e^t) 1/(3e^t)-1/3
X(t)= t^2/2-e^(-t) t 1
\(°0°)/ HOORAY!!
wordpress ate all the “plus” signs
ahaha that was pure awesome
@Kilgamayan: I find non-Euclidean geometry interesting (especially hyperbolic geometry), but its complexity also takes some fun out of it.
All this talk about math is making me feel old.
That explains Cyclops. You have to have a super power to be able to endure trig, such as his Super Trigonometry ability.
Cosine “Trig Graph” – what an interesting spellcard name!
“Cosine “Trig Graph” – what an interesting spellcard name!”
I feel so stupid for not noticing that. >_<
Maybe I would’ve noticed it if it was co-sign. That makes me think, maybe there’s the potential for someone to make a script for a Flash animation based on “Yuyuko-sine”…
I found trig fun. My pre-calculus teacher spent the whole first semester on it, and my colleagues and I were so sad to see it leave in the second semester. Though my class recently had fun with logs about a month ago.
There is too much math in this thread (well it’s not actually a thread)! It’s not so much that I hate trig, it’s more that I liked logarithms a lot more. Last year, I really hated logs, but this year I actually kind of like it, and just as soon as I start liking it, we move on to trig! And that’s annoying.
Am I the only one reminded of Sanae’s [The Day The Sea Split] card by this?
Am I the only one reminded of Yuyuko’s triangular hat thing by this?
@Roukan: Yes. Yes you are.
@Kobayashi: See above answer. :/
Also, Unnamed Character should’ve focused. Then she would’ve prolly’ racked up CRAZY AWESOME amounts of graze.
not the logs!
“I hate to brake it to you but… Triangles aren’t real. There’s only 3d objects, there are no 2d objects or even 1d ones.”
Wow.
Just Wow.
Obvious statement, but different people are at different aptitudes, levels and (more importantly) exposure to maths. It’s been way too long since I last used maths so I’m rusty as heck (read: need to carry around a textbook if I need to use maths) and I know I’ll need to use maths before my Postgrad time is over. At least I’m glad I only need to deal with well-documented maths tools, regardless of how complex they are.
As you know, if I can’t solve it on paper within a few hours, I’d need to think about getting a computer to numerically crunch through it. Unlike Pure Mathematician (Undergrad) students who may stare at a problem for up to 2 weeks before basking in the Climax of Ephiphany.
Maths are everywhere, maybe you should “Look around you”
http://www.youtube.com/watch?v=MiMWJ1xBo8w
oh…Trigo.
i remember have learned log before,but not trigo…maybe finally we not learned trigo…mmm…
or maybe,is gluten intolerance. in spanish,”trigo” is wheat.
XD
What are you all talking about? Trigonometry is awesome. So are logarithms though. Math in general is awesome.
@Solarn
Math in general is awesome.
On a side note, 東方三角法