What does sine actually mean?
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- čas přidán 22. 08. 2024
- The etymology of sine is fascinating.
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![Pythagoras Would Be Proud: High School Students' New Proof of the Pythagorean Theorem [TRIGONOMETRY]](/img/n.gif)
That's a cool fact. Etymology is amazing.
Math, History, and English class in the same video!
Ancient India was wonderful 🕉️🇮🇳........♾️
How so?
@@shadowofheaven3279in every way, until it was looted.
@@shadowofheaven3279
In ancient India litracy rate was 100% Earth's 40% wealth was in india (remember: golden sparrow)
But everything got demolished
Ancient civilisation is crazy
@@nripdave673Didn't every kingdom demolish each other?
In Indian astronomy, the study of trigonometric functions flourished in the Gupta period, especially due to Aryabhata (sixth century CE), who discovered the sine function. The first actual appearance of the sine of an angel appears in the work of the Hindus. Aryabhata, in about 500, gave tables of half chords which now really are sine tables and used jya for our sin.
After you posted the visualisation video the other day, it hits me on this exact question! This video just came at the right time!
In today's Indian high school mathematics books, we still have the word 'jya' but it means chord of a circle now
Chord is 'Jiva' or ' जीवा ' not 'jya'.
किसी भी वृत्त में व्यास, सबसे बड़ी जीवा होती है ।
Diameter is the longest chord in a circle.
As said in video,
Jya or ' ज्या ' is 'sine'
Cojya or कोज्या is 'cosine'
Hope it will clarify your confusion !
Thank you !
@@anshumantripathi2127In Bengali, jya " জ্যা " means chord of a circle
@@angrybhalo1671 Thanks for informing.
I didn't know about Bengali book.
Yep @@angrybhalo1671
Dont.go by school books go and see how astronomy is toughr in Varanasi and Ujjain
Wow that's amazing!
In Arabic we still say Ja as sine and Jata as cosine
نحن نسميه جيب و جيب التمام اما جا و جتا فهي اختصارات مثل sin و cos
احنة بالعراق نكولها sin, cos (in iraq we say sin and cos)
@@SASA_maxillo sin cos tan
هذا اسمها بالانجليزي و هي اختصار للكلمات
Sine , cosine, tangent .
اما اسمها بالعربي هي الجيب ، جيب التمام ، الظل
و اختصاراتها جا ، جتا ، ظا
@@user-cv2ce8pl5p اي اني اقصد بالعراق منكول جيب وجتا وضل... نكول اختصاراتها بالانكليزي
Sin cos tan
Jata sala 😂😂🤣🤣
I like how you make videos dedicating to indians as well 😊
This is what math history is 😀
Btw i am in Kuwait ( Arabic country ) but i am indian studying in indian school... so i know both the languages you showed 😅
He is from India..
Cool
@@nripdave673He is american
@@huzefa6421
No, see his name is presh talwalkar
Talwalkar is an indian surname
@@nripdave673Pronunciation difference
Hindi pronunciation is this spelling ( तलववालकर ) kind of
English is totally different
His accent he is american
... and this is reporter for Mind Your decisions ... "sin" ing off! 🎤🤓👍
It's still called "sinus" in various languages.
i think almost half of his audience is from India ;) ??
Lol
Diabolic
@@blogout412 well a pretty well formed perception, just because Indians love maths... 😊
I had often wondered. I have to say that I thought the explanation would be simpler and more sensible but thank you for that interesting and informative video.
I still remember that this is written in class 10th maths book ( chapter 8 I guess )
India has always been great!
Dhanywaad ❤🙏
Thank you!
The radius is called Trijya which means the one born of three jya, when u dont know the centre of circle u need three lines (chords - jya) to find the centre and from there u can know the radius- Tri-jya
What did “kojya” literally mean?
In English, “cosine” stands for the complementary sine, what did the “ko” part mean back then?
Presh is a very smart economist.
Great work 👍👏
🇮🇳Proud to be an Indian🇮🇳
Soooooo cool!
But how did the ancient greeks know about it then? Didn't they use it to calculate the circumference of the earth?
Bruh
In Italy we call it “Seno” so “Sen”
Thank you for your content
But I have a question:
When I saw these identities:
co sine(x)=sine(90-x)
co tangent(x)=tangent(90-x)
co secant(x)=secant(90-x)
I expected that the (co) is the first two letters of the word (complementary angle)
So is this correct?
I saw this in wikipedia so if someone who knows that this is wrong and he has sources, then please edit this wikipedia page
en.m.wikipedia.org/wiki/Trigonometric_functions
Sorry for my bad English I am not native
Even in bengali language (derived from sanskrit) the chord is called jya,
Also utkramajya for tangent and it is kotijya for cosine
Lol in Arabic I remember the word cosine more than others (in Arabic the short form of cosine is GTA (جتا) meaning angel cosine (جيب تمام الزاوية))
ما افهم كيف تدرسون الجبر بالعربية الفصحى، هنا في تونس و المغرب ندرس كل شي بالفرنسي و احس انها اسهل مالعربي بكثير 😅
@@tunistick8044 كل دولة و طرقها في التعليم، لكن كلها تنتهي بورقة. 😔
It's called KotiJya, which means "like jya" or "similar to Jya"
isle and island i think have different roots. a sort conveegent evolution.
perhaps it was deliberate to bring together the ideas of bowstring and bendy which are both relevant to the sine function
Indian science was the most precious in ancient times. Hope indian science can be great again.
I saw the sine
It opened up my eyes
I saw the sine
Hell b**** now im 11 th studing sinA + sinB cause of this guy
my favorite part about learning math stuff is when the presenter starts off making a claim that they immediately refute, but they have no idea that that's what they did.
how's the basis for trig the sine when the sine is derived from working with trig?
it's like when someone says that 2^3 is 'two times itself 3 times', despite that actually being 2*2*2*2, which is 2^4.
But as you pull the string the radius increases while the circle of the arch length decreases why would it make sense to work with circles
India is the base of modern science
sinus just means side.
cosinus means just the analog to sinus
now I'm kinda really confused 😱
Push the magnifying 🔍 thing at the top of the page and search, "What is the sine wave". I'm sure it will end your confusion about some of it and probably add new confusions but that's ok. Trigonometry is probably the single most important subject to learn in understanding how the Universe works in every field of science probably even psychiatry. 🔯⚛️
@@imaginaryuniverse632 Thanks, I'll check it out 🤗
In Spanish is actually boob.
Honestly I still Don't understand trigonometry i mean ik the mathematical formulas of sin and cos but I still don't understand what I m searching for by applying the formula I mean what is sin what's cos tan cot
LEARNED HISTORY INSTEAD OF MATHS
Etymology is proof that good rules the world! Unless of course evil just wants it to seem that way if evil rules the world but it's probably good. 👍
Beside math…. Beautiful to see the history of vocabulary….
Credit goes to indians
" Mein Indian hoon, INDIAN ".. here comes Sunny Deol 😡😡😂😂
when people use CE instead of A.D.
ah yes "Common Era, the Era that cam after the .... ummm..... common event ...... yeah that one"
The chord comes from Greek. Once Greeks came to India they introduced the chord. But then the Indians cut the chord to make the Sine fubction.
Also why is the sine function better than the chord function.
Preference for functions if right triangles? Greater simplicity?
@@trhuffer How is it simplicity?
Can you provide some evidence or source reference to back up your claim? Can you provide reference that chords were not known in India.
For example, one counterpoint I can think of is that the usage of chords/ropes/strings were universally to measure lengths of shape - squares, triangles, circles etc. in the ancient world and still today (nowadays it is more generally known as measuring tape).
They were knoen in India. The Half Chord function in Sanskrit was called "jya-artha" meaning "half chord". The trignometric principles came to India via Greeks.
@@abhiramn474 Is there some way to substantiate it with evidence? Else, your statement basically conveys the idea that "I told you, so you have to believe me"
Chord is a literal cord.
sinθ = o/h = sinθ/1
cosθ = a/h = cosθ/1
tanθ = o/a = sinθ/cosθ