@Alientcp said in #20:
Trigonometry
Greece
Short answer: both India and Greece played key roles, but in different ways.
Ancient Greece
• Greek mathematicians like Hipparchus (2nd century BCE) and Ptolemy developed trigonometry as a formal mathematical discipline.
• They focused on geometry and used chords of circles (not sine/cosine yet).
• Trigonometry was mainly used for astronomy.
Ancient India
• Indian mathematicians later transformed trigonometry into the form we recognize today.
• Scholars like Aryabhata (5th century CE) introduced sine (jya) and cosine concepts.
• India developed tables of sines, practical formulas, and applied them widely in astronomy.
• Many modern trig functions come directly from Indian work, later transmitted to the Islamic world and Europe.
So who “invented” it?
• Greece: laid the foundations using geometry and chords
• India: developed sine-based trigonometry, which became the modern system
Conclusion:
Trigonometry was not invented by a single civilization. It evolved over time, with Greek foundations and Indian innovations shaping what we use today.
This is what ChatGPT says
@Alientcp said in #20:
> > Trigonometry
>
> Greece
>
Short answer: both India and Greece played key roles, but in different ways.
Ancient Greece
• Greek mathematicians like Hipparchus (2nd century BCE) and Ptolemy developed trigonometry as a formal mathematical discipline.
• They focused on geometry and used chords of circles (not sine/cosine yet).
• Trigonometry was mainly used for astronomy.
Ancient India
• Indian mathematicians later transformed trigonometry into the form we recognize today.
• Scholars like Aryabhata (5th century CE) introduced sine (jya) and cosine concepts.
• India developed tables of sines, practical formulas, and applied them widely in astronomy.
• Many modern trig functions come directly from Indian work, later transmitted to the Islamic world and Europe.
So who “invented” it?
• Greece: laid the foundations using geometry and chords
• India: developed sine-based trigonometry, which became the modern system
Conclusion:
Trigonometry was not invented by a single civilization. It evolved over time, with Greek foundations and Indian innovations shaping what we use today.
This is what ChatGPT says