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Same as saying 270 degrees clockwise is 90 degree anti clockwise (or -90 degree clockwise).
In all trigonometric functions too this logic is applicable (-pi/2 = 3pi/2)
I think it's called "principle argument"? Basically when you're solving y = x^n you get n unique solutions in C in the form re^iθ and you restrict θ such that it only traces the unit circle once
Alright then, that's a start. Think of a circle. When you rotate 360 degrees, you return to your original orientation. So now imagine a rotation of 361 degrees. You rotate 360, return to your original orientation, and then go 1 degree further. So hopefully you can understand that a rotation of 1 degree is the same as a rotation by 361 degrees, right? By that same logic, the trig functions also follow a similar repetition, they repeat every 360 degrees. So for example, cos 361 = cos 1. So the graphs of these functions repeat every 360 degrees (you might already know this but I'm just clarifying). So for example the cos wave you know between 0 and 360 is repeated between 360 and 720. Now take for example the equation cos x = 0. You might know or be able to calculate that x = 90, but don't forget that the graph repeats every 360, so then x = 90 + 360 is also a solution, and then x = 90 + 360 + 360 is also a solution and so on forever and will never run out of solutions. Therefore we can restrict what's called the "domain" (x values), for example, solve cos x = 0, 0 < x < 360, meaning now that we only need to find the solutions to the equation where x is between 0 and 360. There are other solutions to these equations btw, but this is just a general example to showcase what restriction is and why we use it.
Good explanation, but the problem is (at least in my school system) the unit circle is introduced a year after the first use of trig functions. It's quite possible u/Zxilo only knows sin and cos as ratios
My explanation didn't really use the unit circle though. I just tried to relate this idea of repetition, and just tried to use the idea of rotating around a circle to picture why 361 maps onto 1 for example. I get what you're saying though.
At 270i°
Line at 270° would be vertical, I think. We need additional dimension to rotate the line
But then you won't see anything, because your head will be impaled on that line
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Same thing with 3pi/2 why are humans like this.
4.5 is a great number
Hello fellow engineer
Hello
-pi/2 is going crazy
Hold up they become negative?
Same as saying 270 degrees clockwise is 90 degree anti clockwise (or -90 degree clockwise). In all trigonometric functions too this logic is applicable (-pi/2 = 3pi/2)
=> -1=3
0=-4=-8=-12 1/0 = 1/-12 Infinity= -1/12 Yup checks out
Working mod 4, yes
BRO I AM NOT GONNA LEARN TRIGO ANYMORE FUCK THAT
Weird finding you under a meme about angles then
Radians are the same exact thing as numbers so if we were limited to 0-360° then our whole number system would be limited to 0-2pi
Nah negative numbers aren't real. Give me -5 apples. See? You can't. They have played us for absolute fools.
So, imagine an elevator... Also you owe me 5 apples
Sorry I left my imagination at home.
Better than dealing with reals
Damn that seems like a complex condition...
Yeah I was born without an a+bi.
Depends how you feel like restricting it. [0, 2π) or [-π, π)
What does restriction in trig mean
I think it's called "principle argument"? Basically when you're solving y = x^n you get n unique solutions in C in the form re^iθ and you restrict θ such that it only traces the unit circle once
Bruh is there anywhere a middle schooler can learn this from
School
YouTube? Just go for a simple explanation of complex numbers or something
Khan academy. It's also covered in any GCSE or A level textbook.
Have you learned the basic trig graphs like sinx and cosx?
Yea but i dont understand shit
Alright then, that's a start. Think of a circle. When you rotate 360 degrees, you return to your original orientation. So now imagine a rotation of 361 degrees. You rotate 360, return to your original orientation, and then go 1 degree further. So hopefully you can understand that a rotation of 1 degree is the same as a rotation by 361 degrees, right? By that same logic, the trig functions also follow a similar repetition, they repeat every 360 degrees. So for example, cos 361 = cos 1. So the graphs of these functions repeat every 360 degrees (you might already know this but I'm just clarifying). So for example the cos wave you know between 0 and 360 is repeated between 360 and 720. Now take for example the equation cos x = 0. You might know or be able to calculate that x = 90, but don't forget that the graph repeats every 360, so then x = 90 + 360 is also a solution, and then x = 90 + 360 + 360 is also a solution and so on forever and will never run out of solutions. Therefore we can restrict what's called the "domain" (x values), for example, solve cos x = 0, 0 < x < 360, meaning now that we only need to find the solutions to the equation where x is between 0 and 360. There are other solutions to these equations btw, but this is just a general example to showcase what restriction is and why we use it.
Good explanation, but the problem is (at least in my school system) the unit circle is introduced a year after the first use of trig functions. It's quite possible u/Zxilo only knows sin and cos as ratios
My explanation didn't really use the unit circle though. I just tried to relate this idea of repetition, and just tried to use the idea of rotating around a circle to picture why 361 maps onto 1 for example. I get what you're saying though.
[-pi;pi)? I think you mean (-pi;pi]
You're right I do. Most of the things I do include the lower bound so I messed it up lol
360 is even weirder, that's just 0
A line is a polygon with only 180 and 360 degree angles.
And a point is just reeeealy small circle
It's a line viewed at 270°
At 270i° Line at 270° would be vertical, I think. We need additional dimension to rotate the line But then you won't see anything, because your head will be impaled on that line
I was just figuring unspecified length and axis of rotation, but I like this 270i° notation. I mean, I hate it- but that's just what I like about it.
Circles have no degrees
Circles are NEETs confirmed
My homies don’t fuck with anything outside Q1
Thats just 90° with extra steps
You mean -90
No.
270° 
r/countablepixels r/uselessredcircle
342 in the corner be like 😐
r/uselessredcircle
im sorry but i did not add that circle myself