Why sin and cos don't mean anything  Summary and Q&A
TL;DR
The video explains the origins of mathematical terms like sine and cos, highlighting their journey from India to Europe and the misinterpretation in translating from Arabic to Latin.
Key Insights
 👨💼 The term "sine" and its mathematical meaning originated in ancient India during the Gupta period.
 💢 Mathematicians in Guptaera India also invented modern decimal notation, revolutionizing the way numbers are written.
 👨💼 The misinterpretation of "sine" occurred during the translation of Arabic texts into Latin, leading to the adoption of the word "sine" with a different meaning in mathematics.
 🤔 The terminology and mathematical concepts developed in Guptaera India had a significant impact on the way we currently think about math.
 🍉 The path from India to Europe resulted in linguistic and translational errors, shaping the terms used in mathematics today.
 🔑 The word "sine" is an English corruption of the Latin word "sinus" and did not exist until English mathematicians started using it in the 16th century.
 😀 The misinterpretation of "sine" highlights the challenges faced in translating mathematical concepts across different languages and cultures.
Transcript
this is candy it's called candy because it was originally from India where sugarcane was first processed into sugar crystals and around the 4th century AD with a piece of sugar referred to as Kanda in sanskrit now as the knowledge of the cultivation and processing of sugar spread westwards into what was then Persia sometime in the 6th century the w... Read More
Questions & Answers
Q: Where did the concept of sine originate?
The concept of sine originated in ancient India during the Gupta period, specifically focusing on the relationship between half the length of a chord and half the angle subtended at the center of a circle.
Q: How did sine travel from India to Europe?
The concept of sine spread from India to Persia and eventually made its way to Europe. As it traveled, the word "sine" was transliterated from Sanskrit to Arabic and then translated into Latin, leading to the misinterpretation of its original meaning.
Q: What is the significance of decimal notation?
Decimal notation, invented in Guptaera India, revolutionized the way numbers were written. Each column of a number is 10 times larger than the previous one, replacing earlier systems like sexagesimal that were more unwieldy.
Q: How did the misinterpretation of "sine" occur?
As Arabic texts were translated into Latin in the 12th century, the word "sine" was mistakenly understood as an abbreviation for "Jeb," meaning bosom or pouch in Arabic. This misinterpretation led to the adoption of "sine" in Latin.
Summary & Key Takeaways

The concept of sine originated in ancient India and was further developed during the Gupta period. It involved the relationship between half the length of a chord and half the angle subtended at the center of a circle.

Similarly, modern decimal notation, where each column of a number is 10 times larger than the previous one, was also invented in Guptaera India.

When the knowledge of sine spread from India to Persia and then to Europe, the term "sine" was misinterpreted as "bosom" or "fold" due to mistranslation, leading to its adoption in Latin.