Imagine a point walking along the rim of a circle, starting from the 3:00 position and heading counterclockwise.
The sine function just describes how far above or below the circle’s center that point will be after covering a given distance, relative to the size of the circle.
Ihhh’s answer is equivalent if we draw a triangle connecting that point to the circle’s center, but it’s not the most intuitive without a visual aid.
@PUBLIQclopAccountant
That’s the Weierstrass function. It’s defined as the sum of an infinite number of tighter and tighter cosine waves, and is notable for being continuous but not having a definable slope at any point.
@Officer Hot-Pants
Don’t worry. I don’t understand trig either. I almost did once, but then I never had to use it again. :T
I can still make bad puns tho.
@Ihhh
I really do appreciate you going to the trouble to explain it to me but I’m afraid that even after reading that four times it still makes less sense to me than the pictures from Discord’s colonoscopy.
@Officer Hot-Pants
Sinx is the sine of the independent variable x where y is the dependant variable. The sine of a number for which an angle is that number, is the ratio of the length of the side that is opposite that angle, aka the opposite, to the length of the longest side, aka the hypotenuse, of a right triangle.
I don’t even know what “sin x” means. In my mind it’s just a secret boss hidden somewhere in Final Fantasy 10. That or something that lands you in Super Hell. It amazes me that anyone even caught whatever this was in the two seconds it was onscreen.
Something like $\sum{n=1}{\inf} cos(nx)/n$?
Yeah, that wasn’t the clearest explanation.
That’s the Weierstrass function. It’s defined as the sum of an infinite number of tighter and tighter cosine waves, and is notable for being continuous but not having a definable slope at any point.
Van Halen intensifies.
Or she’s into the teacher
I don’t know, I just looked up “interesting functions”
How is this one defined?
If I’m correct, -cos(x) is the integral of -sin(x).
f(x) = sin(x) so the antiderivative F(x) = -cos(x)
Could be a relation between an equation and a graph. In this case, sin(xy) = -cos(x).
They could possibly be learning implicit differentiation or something
Edited
…Can you tell me, too?
Tell me too.
I’ll tell you via PM.
Oh boy. Now I gotta know.
Just… don’t ask.
What the hell are you talking about?
Edited
@Officer Hot-Pants
eh, it’s mostly just trivia I know.
Don’t worry. I don’t understand trig either. I almost did once, but then I never had to use it again. :T
I can still make bad puns tho.
I really do appreciate you going to the trouble to explain it to me but I’m afraid that even after reading that four times it still makes less sense to me than the pictures from Discord’s colonoscopy.
Sinx is the sine of the independent variable x where y is the dependant variable. The sine of a number for which an angle is that number, is the ratio of the length of the side that is opposite that angle, aka the opposite, to the length of the longest side, aka the hypotenuse, of a right triangle.
Edited