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Questions and Answers
Who first used the abbreviated notation 'sin'?
Who first used the abbreviated notation 'sin'?
- Aryabhata
- Sir Jonas Moore
- Edmund Gunter (correct)
- Aryabhatta
What did Aryabhata use to refer to the half-chord?
What did Aryabhata use to refer to the half-chord?
- jiva
- sinus
- kotijya
- ardha-jya (correct)
What is the origin of the term 'sine'?
What is the origin of the term 'sine'?
- Edmund Gunter's work
- Latin translation of Arabic version (correct)
- Aryabhata's Aryabhatiyam
- Arabic translation of Aryabhatiyam
Who first used the abbreviated notation 'cos'?
Who first used the abbreviated notation 'cos'?
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What led to the creation of the cosine function?
What led to the creation of the cosine function?
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Study Notes
Historical Notation in Trigonometry
- The abbreviated notation 'sin' was first used by mathematicians in the early 16th century.
- Aryabhata referred to the half-chord as 'jya-ardha' in his works, which laid the groundwork for the development of sine.
Origin of the Term 'Sine'
- The term 'sine' originates from the Latin word 'sinus', meaning 'bay' or 'fold', which was a translation of the Arabic term 'jiba', derived from the Sanskrit 'jya'.
Development of Cosine Function
- The abbreviation 'cos', representing cosine, was first introduced by mathematicians in the 19th century.
- The creation of the cosine function was a response to the need for a complementary angle function in trigonometry, leading to its widespread use in calculations involving right triangles and circular measures.
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Description
Explore the historical origins of the term 'sine' and its evolution from Aryabhata's work to its translation into Arabic and Latin. Learn about the journey of the word and its significance in mathematical texts.
