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sin is a y intercept, while cos is an x intercept, so it makes more sense for x intercept to be default. This is the jist of the argument, but there other related reasons that make cos "more fundemental" than sin.
Yeah. Counterclockwise is actually the positive direction of the right hand rule. Most people are right handed so it makes more sense than using the left hand rule.
Also looking at a north up globe, the planet spins counterclockwise.
Nah, this would be society if 12 o’clock was at 0° and clocks went the other direction (I was going to say counterclockwise but that seems like it could lead to some issues)
I'm pretty sure the orientation of clocks is due to the movement of the sun in the northern hemisphere - that's the way a sundial will *always* have the numbers oriented.
But isn't the orientation arbitrary?
The Maxwell equations are symmetric under a change of orientation (closed path integrals and curl in the other direction) together with a sign change of the B field.
Neither is Euler's 2nd law dependent on the direction of the cross product.
Right? I'm not sure I understand the second sentence, though. "as 12 o'clock going clockwise.."
Was it incomplete? Something doesn't look normal here. At least this doesn't look like the normal things I know.
Edit: guys replying I apologize if I sounded too serious and showed genuine confusion. I was just making a joke about the right hand rule (and I can see it went terribly😂)
In mathematics, as degrees increase you go counterclockwise, starting from the x axis on the right.... which would be 3 o'clock on an analog clock.
The memer wishes it started from the top part of the y axis, meaning 13 o'clock on an analog clock.
Just go to the geodesy they do it that way. And if you're particularly lucky they even use a scale from 0-400 instead of this patheticly useful 360 degree stuff.
Well, why not? We like to say that real numbers "increase" and "decrease", or in other words go up or go down — not left or right. And in daily life the distinction between left and right seems more arbitrary (even imaginary, perhaps?) than the distinction between up and down, which is very "real".
Now I'm wondering whether the real number line _would_ be oriented vertically, if languages with vertical writing system had come to dominate society rather than those with horizontal ones.
This is actually pretty trippy to think about, good food for thought 🤔
You’re right. Our number lines should be oriented vertically so that our imaginary axes can be horizontal. Re+ going up, Re- going down, Im+ going right, Im- going left.
How many comments did I have to read before I understood that this was talking about zero degrees, not zero to the power of zero? lol I was really tripping for a minute
So, define it so. No one is forcing you to define 0° as horizontal. No one is forcing you to have your independent variable plotted horizontally. It's just a convention
Nah, doesn’t really help. I’m in guidance and navigation. We use a coordinate frame called NED (for North-East-Down) for a lot of things that does exactly this in the azimuthal (horizontal) plane. And it doesn’t change much.
You know, most of the society don’t care because they are not knowledgeable enough to understand the relationship between coordinate system and trigonometry
I've spent five minutes trying to understand this. 12 o'clock going clockwise? Would it be in a different position counter-clockwise? Same for 3 o'clock. Why would it be somewhere other than its usual location depending on your angular direction?
Wait. In the northern hemisphere clocks must have midnight down and 6 in the left 12 up (midday and heading to the south) and 18 on the right heading west.
If I lived in the southern hemisphere I would have it mirrored, 6 on the right-east and 18 on the left-west and of course counterclockwise.
They aren't the majority, but we do use left hand screws, especially for things that spin. The opposite screw thread ensures that the spinny thing tightens itself rather than loosening itself.
Just a fun fact.
This is a heading angle.
Y'all mathematicians need to touch grass and engineer something. We have nice things in engineer-world. Like heading angles, and roll/pitch/yaw, and Euler angles. Lots of choices for definitions.
Fun fact. In the maritime industry that's the convention we use when expressing a vessel's heading or course in the NED (north-east-down) frame. If a vessel is moving straight north, its course over ground is 0 degrees. From west to east is 90 degrees. Same goes for airplanes.
Azimuth has entered the chat
Also I thought this was zero to the power of zero at first, didn't read the second line, and thought "pretty sure it is defined"
Yeah we should have made the real axes vertical and the imaginary axes horizontal. Another advantage of this is the fact that there is a way to differentiate up and down for humans but there isn't a way to differentiate left and right just like how positives and negatives are strictly different but the positive imaginarys and negatives imaginarys are indistinguishable (i and -i behave the same)
Not OP but maybe a funny way to confuse readers to read "zero to the power of zero" instead of "zero degrees". OP certainly got me to read like that at least.
I actually genuinely don't know why people are confusing 0° with 0^0. Probably just reading it too quickly, but they're all different sizes on my phone.
0°, 0^0, 0^o, 0^O, o^0, O^0, etc.
Bad eyesight is the only explanation I can give, as someone who does have bad eyesight. But I do have to say that they're easier to distinguish than capital i or lowercase L.
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I think I finally met the guy who made sine the default trig function
Wait, It Isn't ???
It is, that's the problem
Why is it a problem?
sin is a y intercept, while cos is an x intercept, so it makes more sense for x intercept to be default. This is the jist of the argument, but there other related reasons that make cos "more fundemental" than sin.
So you're saying sine should be called cocosine?
cocksine
Cokesine innit ❄️
Also e^( ix ) = cos(x) + i sin(x) Cosine is the real part so that's another reason it should be more fundamental.
you pretty much repeated what he said though
The other reason is that "f(x)=1" (my approximation for cos) is simpler than "f(x)=x" (my approximation for sin)
Actually cos(x)=1-x because sin(x)=x and sin(x)+cos(x)=1 /s
It's sin²+cos²=1
x²+(1-x)²=1 Checks out.
fourier series are always written as A_ncos(nx) + B_nsin(nx) thats all the reason i need
Switch them
No
This is an issue with people thinking the construction of a function is the same as its definition.
It should be cotangent right
It's not math's fault all the clocks are wrong
Yeah. Counterclockwise is actually the positive direction of the right hand rule. Most people are right handed so it makes more sense than using the left hand rule. Also looking at a north up globe, the planet spins counterclockwise.
Do you also mean looking at the north pole from above?
Right handed people can suck my ⏰
Nah, this would be society if 12 o’clock was at 0° and clocks went the other direction (I was going to say counterclockwise but that seems like it could lead to some issues)
My first decree as world overlord is that clocks should spin in the opposite direction than clocks.
That mechanical clocks should have been invented in the southern hemisphere
You mean countercurrentclockwise?
No, counterpreviousclockeise. Double plus good.
Countercurrentclockwise until it is currentclockwise at which time it will be counterpreviousclockwise
It's conventional clockwise, which after the discovery of clocks we realized is actually the opposite to the direction clocks turn.
"God can make anything" Ask God for a counterclockwise clock, and the universe will explode
Paradox of the stone but less paradox
Widdershins is the word you're looking for.
I wonder if most people were left handed if it would have any impact on the orientations we use
I'm pretty sure the orientation of clocks is due to the movement of the sun in the northern hemisphere - that's the way a sundial will *always* have the numbers oriented.
The right-hand rule is found in nature all the time. Look at EM waves and neutrino spin.
But isn't the orientation arbitrary? The Maxwell equations are symmetric under a change of orientation (closed path integrals and curl in the other direction) together with a sign change of the B field. Neither is Euler's 2nd law dependent on the direction of the cross product.
if you invert the two vectors you get the left hand rule, it's not anything insane.
Never have i ever seen someone who was bothered by this.
Pretty sure pilots would be pretty bothered by this
Me me.
Society if sec was the inverse of sine and cosec the inverse of cosine
this makes me periodically angry
I completely agree with this as well.
It's the other way round so that sec^2 x and tan^2 x go together and cosec^2 X and cot^2 x go together
I don't get it. What does defining a positive orientation have to do with 0^(0)?
Zero degrees angular measure, not zero to the power of zero
Oh. But surely zero degrees is already defined.
The meme is suggesting that as it is defined, it is unnecessarily complicated such that it has slowed down progress.
Right? I'm not sure I understand the second sentence, though. "as 12 o'clock going clockwise.." Was it incomplete? Something doesn't look normal here. At least this doesn't look like the normal things I know. Edit: guys replying I apologize if I sounded too serious and showed genuine confusion. I was just making a joke about the right hand rule (and I can see it went terribly😂)
It’s talking about polar coordinates. Zero degrees has y = 0. So a positive radius @ 0 degrees will point in the positive x direction, i.e. 3 o’clock.
Simple solution: define the vertical axis to be the x axis.
Do you remember your Unit Circle? Where is zero degrees on it?
The top and bottom are all one statement
In mathematics, as degrees increase you go counterclockwise, starting from the x axis on the right.... which would be 3 o'clock on an analog clock. The memer wishes it started from the top part of the y axis, meaning 13 o'clock on an analog clock.
This works for clocks. However our current angle convention makes it so that X cross Y gives Z in a right handed system. Which is really helpful
I feel like it's still intuitive? It's like a flat line you start from and rotate into a positive angle
Happy cake day! 🤟🏻
Just go to the geodesy they do it that way. And if you're particularly lucky they even use a scale from 0-400 instead of this patheticly useful 360 degree stuff.
You don't use radians, you are denied the right of speech here
There is no justice in the world until τ/4 = 3 o'clock.
You would need to imagine the real line as vertical, going up, and the imaginary line as horizontal, going right, for this to work.
Well, why not? We like to say that real numbers "increase" and "decrease", or in other words go up or go down — not left or right. And in daily life the distinction between left and right seems more arbitrary (even imaginary, perhaps?) than the distinction between up and down, which is very "real". Now I'm wondering whether the real number line _would_ be oriented vertically, if languages with vertical writing system had come to dominate society rather than those with horizontal ones. This is actually pretty trippy to think about, good food for thought 🤔
You’re right. Our number lines should be oriented vertically so that our imaginary axes can be horizontal. Re+ going up, Re- going down, Im+ going right, Im- going left.
counter-cockwise
How many comments did I have to read before I understood that this was talking about zero degrees, not zero to the power of zero? lol I was really tripping for a minute
Wait, is it really that cumbersome? Am I missing something here?
Use polar angles and all your dreams can come true
My friend in christ, you get to define the coordinate system you work in
Since the day I learned that earth literally rotates the opssite way of clocks 24h? More like -24h
My math professor says the opposite She says clocks spin the wrong way around (In the negative direction)
So, define it so. No one is forcing you to define 0° as horizontal. No one is forcing you to have your independent variable plotted horizontally. It's just a convention
Nah, doesn’t really help. I’m in guidance and navigation. We use a coordinate frame called NED (for North-East-Down) for a lot of things that does exactly this in the azimuthal (horizontal) plane. And it doesn’t change much.
You know, most of the society don’t care because they are not knowledgeable enough to understand the relationship between coordinate system and trigonometry
I've spent five minutes trying to understand this. 12 o'clock going clockwise? Would it be in a different position counter-clockwise? Same for 3 o'clock. Why would it be somewhere other than its usual location depending on your angular direction?
angles on a graph are plotted starting from 3 going anti-clockwise
Maybe stop thinking like a clockmaker?
I read that first as "zero to the power of zero"
I'd rather have my clocks start at the "3h" position and run counter clockwise.
Wait. In the northern hemisphere clocks must have midnight down and 6 in the left 12 up (midday and heading to the south) and 18 on the right heading west. If I lived in the southern hemisphere I would have it mirrored, 6 on the right-east and 18 on the left-west and of course counterclockwise.
good let scratch flue thru you
That is society if software engineers don’t need to worry about timezone and all of it shennanigans
That society would be winding left hand screws.
They aren't the majority, but we do use left hand screws, especially for things that spin. The opposite screw thread ensures that the spinny thing tightens itself rather than loosening itself. Just a fun fact.
Yesss, I have came across some stuff that spins in a LHS screw mode. What I was talking about in the comment was all axial vectors.
What topic is this referencing?
This is a heading angle. Y'all mathematicians need to touch grass and engineer something. We have nice things in engineer-world. Like heading angles, and roll/pitch/yaw, and Euler angles. Lots of choices for definitions.
See my flair.
Society if if 0^0 was defined
easy: 0°C=32°F
Fun fact. In the maritime industry that's the convention we use when expressing a vessel's heading or course in the NED (north-east-down) frame. If a vessel is moving straight north, its course over ground is 0 degrees. From west to east is 90 degrees. Same goes for airplanes.
Beautiful.
Azimuth has entered the chat Also I thought this was zero to the power of zero at first, didn't read the second line, and thought "pretty sure it is defined"
Yeah we should have made the real axes vertical and the imaginary axes horizontal. Another advantage of this is the fact that there is a way to differentiate up and down for humans but there isn't a way to differentiate left and right just like how positives and negatives are strictly different but the positive imaginarys and negatives imaginarys are indistinguishable (i and -i behave the same)
Well, it is, but only for compasses
We would have to flop the x and y axis but yeah
And that's why so much of my code looks similar to this: cos(90° - heading)
Why is the image in the middle of the caption?
Not OP but maybe a funny way to confuse readers to read "zero to the power of zero" instead of "zero degrees". OP certainly got me to read like that at least.
I actually genuinely don't know why people are confusing 0° with 0^0. Probably just reading it too quickly, but they're all different sizes on my phone. 0°, 0^0, 0^o, 0^O, o^0, O^0, etc.
Bad eyesight is the only explanation I can give, as someone who does have bad eyesight. But I do have to say that they're easier to distinguish than capital i or lowercase L.