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/sci/ - Science & Math

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Anonymous Tue Jan 16 23:58:09 2018 No.9443599 [Reply] [Original]

can someone explain Pythagorean identities (sin^2+cos^2=1) in a way that my autistic prof can't

>>	Anonymous Tue Jan 16 23:59:16 2018 No.9443601 >>9443599 Calling it an "identity" is a bit of a misleading misnomer, it's more accurately a definition (i.e. 1 is defined by sin^2+cos^2)

>>	Anonymous Wed Jan 17 00:05:41 2018 No.9443617 >>9443599 if you can't understand the definition of a circle I think it's you who's autistic, not your professor

/psy/mon|X|/sci/mon Wed Jan 17 00:08:51 2018 No.9443624
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>>9443599
PEMDAS>Distributive Properties>Commutative constructs!

OR, if you want Simon's PERSONAL solution: OUTPUT:0!>0 = TRUE < 'string':<INPUT

Hello, I'm The Last Autistic Human Being Alive. This Is Why I Type In CamelCase Without Spaces, Because I'll Die When Someone Figures Out My Real Name Is Simon Troy Cosgrove.

>>	Anonymous Wed Jan 17 00:09:50 2018 No.9443627 >>9443617 I'm talking about this Reciprocal Identity Pythagorean Cancellation Property Even-Odd Identity Quotient Identity

Anonymous Wed Jan 17 00:11:06 2018 No.9443631

>>9443599
https://en.wikipedia.org/wiki/Trigonometry
take a look at the pictures on the right, real good look. then read the explanations

>>9443624
simon, you're learning competitive programming? check out codeforces. nowadays it's the biggest community

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 00:11:25 2018 No.9443632 File: 95 KB, 967x744, Center.jpg [View same] [iqdb] [saucenao] [google] >>9443627 Dude, Zero is both a circle AND an ellipsoid. Who the fuck taught you guys math? The Earth itself is an oblate spheroid. Fucking amateurs on this board.

/psy/mon|X|/sci/mon Wed Jan 17 00:13:22 2018 No.9443634
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>>9443627
>>9443631
The image attached is for you guys, the text following is a personal message to the world's first time traveller:

Yes, Mr. Hawking. When you posted that fucking youtube video of you 'freeing your mind', you actually fucking possessed me.

If you have ANY QUESTIONS ABOUT THAT, go find someone else to ask. Seriously, you rode around in my body for a whole fucking year and that is why nobody took EITHER of us seriously when we post on fucking /sci/

>>	Anonymous Wed Jan 17 00:14:00 2018 No.9443637 >>9443632 Pavel truly did not get to bring friends.

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 00:15:07 2018 No.9443639 >>9443637 Pavel will have friends returned a thousand-fold, if you guys just hurry up and follow my fucking lead. HURRDUUR I M SCIENTIST! NO LEARN LANGUAGE! PARANORMAL NOT WURD! DUUUR Paranormal WORDS, not Paranormal EXISTENCES.

>>	Anonymous Wed Jan 17 00:15:28 2018 No.9443640 In a triangle A^2 + B^2 = C^2 Sin and Cos are both parts of a triangle that has a hypotenuse of 1. Sin (B) is one side (of the Y axis) and Cos (A) is another side (Of the X axis) so when you square and add those two up they have to Equal C which = 1.

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 00:16:48 2018 No.9443644 >>9443640 It's like you want me to figure out where you live just so I can fucking kick your dick inside out.

>>	Anonymous Wed Jan 17 00:19:02 2018 No.9443649 >>9443599 It's the very definition of sine and cosine to be the sides of the right triangle of hypotenuses 1 aka the y and x components respectively of the unit circle at a given angle.

>>	Anonymous Wed Jan 17 00:19:59 2018 No.9443651 File: 166 KB, 800x600, Pythagoras.gif [View same] [iqdb] [saucenao] [google]

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 00:20:45 2018 No.9443655 >>9443651 Pythagoras, I swear to god if you are time travelling I will go back in time and curse you with Athena.

>>	Anonymous Wed Jan 17 00:21:33 2018 No.9443657 File: 44 KB, 1280x659, pythagoras.png [View same] [iqdb] [saucenao] [google]

>>	Anonymous Wed Jan 17 00:27:43 2018 No.9443664 File: 380 KB, 768x1024, 5479906960_5a1bc48b18_b[1].jpg [View same] [iqdb] [saucenao] [google] >>9443655 Athena is a top tier Waifu

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 00:28:39 2018 No.9443667 >>9443664 Then congrats, she's yours Pythagoras. Hope you and her have a happy life together. That's why I kept my name as Zeus, because I swear to god that bitch is lit. insane.

>>	Anonymous Wed Jan 17 00:40:23 2018 No.9443695 >>9443667 >dumbass thinks pythagaras speaks english LUL

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 00:42:35 2018 No.9443699 >>9443695 Stupid poster misspells Pythagoras in an attempt to appear superior. See, University Professors? This is why nobody fucking likes you.

>>	Anonymous Wed Jan 17 01:09:44 2018 No.9443759 >>9443624 >d[key]=d[key]+1 Why the fuck do you people do this shit all the fucking time

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 01:12:22 2018 No.9443766 >>9443759 the FUCK should I know. I'm just an Author Of NOVELS, Not An Author Of Novella IDEAS.

Anonymous Wed Jan 17 01:12:31 2018 No.9443767

>>9443601
>it's more accurately a definition
It is actually not a definition. That is not actually a proper definition for the sine and cosine functions (or for the number 1). That is simply a functional equation involving sine and cosine. And as cosine is just sine shifted, it is actually a functional equation for sine.

A definition for sine would include that, and other functional equations that actually properly completely define sine. But this route is mostly nonsense. The best way to define sine and cosine is geometrically and then using completeness to prove that indeed functions with these properties must exist and be unique.

>>	Anonymous Wed Jan 17 01:13:44 2018 No.9443772 >>9443634 take your meds

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 01:15:34 2018 No.9443777 >>9443772 I Have No Medications Prescribed To Me, Nor Has Any Medical Practitioner (Physician Or Psychologist) Strenuously Implied That I Require Constant Monitoring Or Medication.

>>	Anonymous Wed Jan 17 01:37:37 2018 No.9443815 >>9443777 are you a musician or a mathematician?

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 01:54:02 2018 No.9443842 >>9443815 I am NEITHER. I am an 'author'. If you had half a brain and followed my fucking 'writer name' you would DISCOVER that I write under the name S.Vagus/Solivagus. www.svagus.co.uk Fucking idiots.

>>	Anonymous Wed Jan 17 01:55:39 2018 No.9443846 >>9443599 (o/h)^2 + (a/h)^2 = 1 o^2 + a^2 = h^2

>>	Anonymous Wed Jan 17 01:58:47 2018 No.9443855 >>9443842 I don't give a shit about your website. Why do you use the name "Simon Troy Cosgrove"? Who is that? And why do you always post in chinese

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 01:59:55 2018 No.9443860 >>9443855 It's my fucking legal birthname, what other name am I supposed to use if I want people to know who the fuck I am? Anonymous? Yeah, I'll totally go out in public and say, "Hi! I'm Anonymous! Let Us Be Friends!"

>>	Anonymous Wed Jan 17 02:02:05 2018 No.9443869 >>9443860 If you want people to recognize you then just use one name exclusively. Otherwise it tends to confuse people who aren't really interested. And I take it this person is of no relation? http://www.simoncosgrove.net/live/

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 02:04:01 2018 No.9443874 >>9443869 >If you want people to recognize you then just use 1 name exclusively. Okay, should I just have called myself God upon birth or something? Is THAT your idea?

>>	Anonymous Wed Jan 17 02:07:39 2018 No.9443883 >>9443874 Is it really common for white people raised in Indonesia to not speak English as their first language?

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 02:09:07 2018 No.9443887 >>9443883 Why would it be? It's INDONESIA. They speak Bahasa Indonesia Or Javanese as their lingua franca and whatever billion other fucking sub-languages their islands have.

Anonymous Wed Jan 17 02:11:49 2018 No.9443892

>>9443599
[math]\sin(x)=\frac{1}{2i}\left( e^{ix}-e^{-ix} \right)[/math]
[math]\cos(x)=\frac{1}{2}\left( e^{ix}+e^{-ix} \right)[/math]

[math]\sin^2(x)=-\frac{1}{4}\left( e^{2ix}-2+e^{-2ix} \right)[/math]
[math]\cos^2(x)=\frac{1}{4}\left( e^{2ix}+2+e^{-2ix} \right)[/math]

[math]\sin^2(x)+\cos^2(x)=1[/math]

>>	Anonymous Wed Jan 17 02:12:46 2018 No.9443895 >>9443887 Well generally European expats still tend to speak English natively in the colonies (South Africa, Hong Kong, etc.

>>	Anonymous Wed Jan 17 02:13:27 2018 No.9443897 File: 58 KB, 768x712, 1-0.png [View same] [iqdb] [saucenao] [google] >>9443599 That's Junior High math, anon. [math] \sin ^2 (\alpha) + \cos ^2 (\alpha) = x_{\alpha}^2 + y_{\alpha}^2 = 1 [/math]

/psy/mon|X|/sci/mon Wed Jan 17 02:15:07 2018 No.9443901

Fuck me dead.

Define a circle as 360 degrees and then you BEAT your students with all this other shit?

360 degrees was an ARBITRARY CHOICE you FUCKING MORONS.

A circle needs AT BARE MINIMUM 9 DEGREES BEFORE YOU CAN CALL IT A FUCKING CIRCLE.

>>	Anonymous Wed Jan 17 02:16:19 2018 No.9443905 >>9443901 2.25° per circle

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 02:17:23 2018 No.9443906 >>9443905 Sure, you can use ° as the 'glyph/sigil/rune/letter/unit/pineapple' Whatever the fuck makes you guys happy. 2.25 = 9 circles

>>	Anonymous Wed Jan 17 02:20:21 2018 No.9443913 >>9443901 > Define a circle as 360 degrees A circle is the set of all points equidistant from the center.

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 02:21:41 2018 No.9443914 >>9443913 Genius, why didn't 'I' think of that. A Full Complete Circle Only Has One Degree.

>>	Anonymous Wed Jan 17 02:22:33 2018 No.9443916 >>9443914 > A Full Complete Circle Only Has One Degree. What the fuck are you talking about?

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 02:23:57 2018 No.9443920 >>9443916 A circle is the set of all points equidistant from the center. 1 is the greatest number and the 'center of all points that are not zero'

>>	Anonymous Wed Jan 17 03:00:07 2018 No.9443994 >>9443920 this is why 2pi sounds like 'stupid'

>>	/psy/mon\|X\|/sci/mon Wed Jan 17 03:02:06 2018 No.9443995 >>9443994 Correct.

>>	Anonymous Wed Jan 17 03:36:52 2018 No.9444042 >>9443767 It can be used to define sin and cos, alongside with sin and cos of sum formulas, I think these 3 equations uniquely determine these 2 functions

>>	Anonymous Wed Jan 17 04:31:24 2018 No.9444076 >>9443599 Use Laplace transforms

>>	Anonymous Wed Jan 17 06:56:00 2018 No.9444204 Take the unity circle and do implicit differentiation on the coordinates of a point on its circumference.

>>	Anonymous Wed Jan 17 06:57:30 2018 No.9444205 upcoin.com/?ID=4b1a0f0c

>>	Anonymous Wed Jan 17 07:24:24 2018 No.9444232 File: 39 KB, 742x358, .png [View same] [iqdb] [saucenao] [google] Let's look at the graph. The peak is 1, and you can see the bottom graph is always 0. When 1 is 0.5, the other is 0.5 too. QED

>>	Anonymous Wed Jan 17 08:02:38 2018 No.9444274 Pythagorean: [math]a^2 + b^2 = c^2[/math] trigonometry: [math]a = c ( \sin \theta )[/math] [math]b = c ( \cos \theta )[/math] substitute these into Pythagorean, and Bob's yer uncle.

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