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Questions and Answers
What is the etymological origin of the word 'trigonometry'?
What is the etymological origin of the word 'trigonometry'?
- From the Sanskrit words for 'circle' and 'ratio'
- From the Arabic words for 'sine' and 'cosine'
- From the Latin words for 'angle' and 'calculation'
- From the Greek words for 'triangle' and 'measure' (correct)
In which century did trigonometry emerge in the Hellenistic world?
In which century did trigonometry emerge in the Hellenistic world?
- 5th century BC
- 1st century AD
- 3rd century BC (correct)
- 2nd century AD
What did the mathematicians in India create related to trigonometry?
What did the mathematicians in India create related to trigonometry?
- Earliest-known algebraic equations
- Earliest-known geometric theorems
- Earliest-known tables of values for trigonometric ratios (correct)
- Earliest-known calculus formulas
In what areas has trigonometry been historically applied?
In what areas has trigonometry been historically applied?
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What method did the Sumerian astronomers use for angle measure?
What method did the Sumerian astronomers use for angle measure?
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Study Notes
Etymology of Trigonometry
- The word "trigonometry" originates from Greek words: "trigonon" (triangle) and "metron" (measure)
Emergence in the Hellenistic World
- Trigonometry emerged in the Hellenistic world during the 3rd century BC
Indian Contributions
- Indian mathematicians developed a system of trigonometry based on the sine function, which they called "jya"
Historical Applications
- Trigonometry has been applied to astronomical calculations, navigation, surveying, cartography, and engineering
Sumerian Angle Measure
- Sumerian astronomers used a system of angle measure based on 360 degrees for a full circle.
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