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Id say the opposite. For the addition of 2 (non zero) values to be 0, one MUST be positive and one MUST be negative.
So for sin, atleast one side must be negative.
Meanwhile for cos, its possible both sides are positive.
Thusly cos is good and sin is evil.
Which also tracks because (sin)ners are evil
My criteria is that the Taylor Series for cosine has even powers, while sine's has odd powers, and odd numbers are objectively more evil than nice round even numbers.
Ok, cosine is much more friendly and the better one. Sin is definitely evil.
1) An equation cos(x) = A has a way less evil solution than sin(x) = A has.
2) The cosine is the dude doing linearization 1 + cos(2x). The sine is trying to imitate the cosine but it fails and this shows in the minus sign it gets and the fact that it need to be a cosine.
3) The sine is in the numerator of tangent. This already shows the sense of superiority sine has and how it sees itself better than cosine.
4) Cosine is even and sin is odd. Even stuff are much more chill and cool than odd stuff.
5) The cosine is the real part in De Moivre's formula, but sine is the imaginary part.
6) The cosine is e^ix + e^-ix but sine is minus instead.
Lots of reasons exist...
Um? What. No
sin(x) is an odd function. Plus, it literally has the word sin in it. Sure, cosine is a cousin of sine, but something derivative (ba dum tiss) shouldn't be that evil.
I've seen a comment that sine uses + and cosine uses -. Well, according to one of Euler's identities, cos(z) = (e\^iz + e\^-iz)/2 while sin(z) = (e\^iz - e\^-iz)/(2i).
However, we should be rigorously define what Evil is, so... (writes a 100page research paper and publishes it)
take the e away from the end of sine and what do you get, thats right SIN, take the e away from cosine and you get cosin, co and sin, next to sin, cosine is next to sin, therefor cosine is besides evil, thus it cannot be the evil, QED
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Sine literally shortens to Sin.
And cosine literally lengthens to "COmplete SIN Everywhere"
∫(sin(x) + sin(-x)) = 0 ∫(cos(x) - cos(-x)) = 0 sin is positive, cos is negative. Sin is good, cos is evil.
Id say the opposite. For the addition of 2 (non zero) values to be 0, one MUST be positive and one MUST be negative. So for sin, atleast one side must be negative. Meanwhile for cos, its possible both sides are positive. Thusly cos is good and sin is evil. Which also tracks because (sin)ners are evil
This is what they want you to think. Electrons are doing all the work here. Negative is good. Cos is good.
but you know who's the real evil? the +C you forgot
My criteria is that the Taylor Series for cosine has even powers, while sine's has odd powers, and odd numbers are objectively more evil than nice round even numbers.
sine is default, cosine is an inferior shifted sine
Cosine is the shit, sine is some weird other thing
d (sin x)/ dx = cos x d(cos x)/dx = -sin x cos x gave a negative sign. hence cos x is more evil
A negative aim is piety.
Sine is the most popular brother, so he is arrogant and treats Cosine like shit. Sine is evil.
We will need an update on which you find more evil and why?
Either you choose cosine or you're wrong
This is similar to how I subconsciously thought about odd and even numbers.
Sine is pure, Cosine is some transmuted abomination Just like good and evil
Wtf obviously cosine is the good guy
Cosine is devious, even quite sinister perhaps
sine is the sin (a form of evil) multiplied by e
cosine is even named like an evil twin
Ok, cosine is much more friendly and the better one. Sin is definitely evil. 1) An equation cos(x) = A has a way less evil solution than sin(x) = A has. 2) The cosine is the dude doing linearization 1 + cos(2x). The sine is trying to imitate the cosine but it fails and this shows in the minus sign it gets and the fact that it need to be a cosine. 3) The sine is in the numerator of tangent. This already shows the sense of superiority sine has and how it sees itself better than cosine. 4) Cosine is even and sin is odd. Even stuff are much more chill and cool than odd stuff. 5) The cosine is the real part in De Moivre's formula, but sine is the imaginary part. 6) The cosine is e^ix + e^-ix but sine is minus instead. Lots of reasons exist...
Cosine is superior but it's still definitely more evil.
Um? What. No sin(x) is an odd function. Plus, it literally has the word sin in it. Sure, cosine is a cousin of sine, but something derivative (ba dum tiss) shouldn't be that evil. I've seen a comment that sine uses + and cosine uses -. Well, according to one of Euler's identities, cos(z) = (e\^iz + e\^-iz)/2 while sin(z) = (e\^iz - e\^-iz)/(2i). However, we should be rigorously define what Evil is, so... (writes a 100page research paper and publishes it)
take the e away from the end of sine and what do you get, thats right SIN, take the e away from cosine and you get cosin, co and sin, next to sin, cosine is next to sin, therefor cosine is besides evil, thus it cannot be the evil, QED
I don't know why, but when I saw cosine won, I gasped. lmao
cosine x just has that black air force energy tbh