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.
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 !
@@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
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 😅
@@nripdave673Pronunciation difference Hindi pronunciation is this spelling ( तलववालकर ) kind of English is totally different His accent he is american
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.
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
This is what schools should focus on teaching, not just here is what exists, it doesnt matter how the functions come together and why everything is named the way it is, just copy and paste this function to your calculator and write down the result.
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
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
A work can be developed independently at many places. Anyways what the Greeks were using was a very primitive form of Trigonometry. Modern Trigonometry has its roots in the works of Aryabhata.
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
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. 🔯⚛️
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.
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.
@@AbhiramN_1289 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"
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?
That's a cool fact. Etymology is amazing.
Bothers me how jya means bow string when none of the lines represent the actual string
I had no idea what etymology meant. Searched it up, and it turns out I've been looking for this exact word for years. Thank you.
What is the etymology of etymology?
@bugglemagnum6213 that is the chord. That's why.
@@bugglemagnum6213graphic math's does a video on the origin of that.
Math, History, and English class in the same video!
Plus Sanskrit, Arabic and Latin
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 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.
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
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
@@ههه-ض8ش 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..
@@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
@@huzefa6421
No,
Talwalkar (a marathi surname)
He was born in India but from young age he settled in USA hence his accent is American...
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.
Wow that's amazing!
I still remember that this is written in class 10th maths book ( chapter 8 I guess )
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... 😊
@@srijall Indians don't love maths 😂.. Only few love maths.. That's a myth..
Dhanywaad ❤🙏
... and this is reporter for Mind Your decisions ... "sin" ing off! 🎤🤓👍
Glad to know this☺️
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
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
Great work 👍👏
Indian science was the most precious in ancient times. Hope indian science can be great again.
This is what schools should focus on teaching, not just here is what exists, it doesnt matter how the functions come together and why everything is named the way it is, just copy and paste this function to your calculator and write down the result.
Also utkramajya for tangent and it is kotijya for cosine
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
In Italy we call it “Seno” so “Sen”
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
But how did the ancient greeks know about it then? Didn't they use it to calculate the circumference of the earth?
Bruh
A work can be developed independently at many places. Anyways what the Greeks were using was a very primitive form of Trigonometry. Modern Trigonometry has its roots in the works of Aryabhata.
theres sine and cosine trig, and theres pythagorean trig
What did they use it for?
Oddly, these principles would work (analogously) in split-complex space!
Even in bengali language (derived from sanskrit) the chord is called jya,
Presh is a very smart economist.
sinus just means side.
cosinus means just the analog to sinus
Thank you!
What did “kojya” literally mean?
In English, “cosine” stands for the complementary sine, what did the “ko” part mean back then?
So, that's why we also have tangent in trigonmety 😮
I thought trigonometry is before CE
India has always been great!
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. 😔
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
Soooooo cool!
But how did coja become cosine The arabs did not use the "co" at? least they dont now now they call it "sine completed"
that's really cool
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 🤗
BASED INDIANS 🕉️
🇮🇳Proud to be an Indian🇮🇳
Interestingly enough, sine in german is still called sinus today
Um the pronounciation is wrong
I saw the sine
It opened up my eyes
I saw the sine
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. 👍
It's called KotiJya, which means "like jya" or "similar to Jya"
In Spanish is actually boob.
Hell b**** now im 11 th studing sinA + sinB cause of this guy
It's giving geometry, math it's all connected
India is the base of modern science
LEARNED HISTORY INSTEAD OF MATHS
A.D. not CE
You mean they knew what a prison pocket was back then? 😂😂
Beside math…. Beautiful to see the history of vocabulary….
Wow
✅
ज्या
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.
@@AbhiramN_1289 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"
Credit goes to indians
" Mein Indian hoon, INDIAN ".. here comes Sunny Deol 😡😡😂😂
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.
Jaib-srpski džep😊
when people use CE instead of A.D.
ah yes "Common Era, the Era that cam after the .... ummm..... common event ...... yeah that one"
Chord is a literal cord.
India is named as independent nation declared in August in the time your talking it was called in real name bharatham
Trigonometry was developed in Babylon😭
People of ancient India was Muslims.
what a bad joke are you gone mad
sinθ = o/h = sinθ/1
cosθ = a/h = cosθ/1
tanθ = o/a = sinθ/cosθ