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Questions and Answers
What is the main focus of trigonometry according to the text?
What is the main focus of trigonometry according to the text?
- Solving equations
- Astronomical studies
- Relationships between angles and ratios of lengths (correct)
- Calculation of chords
Who created the earliest-known tables of values for trigonometric ratios?
Who created the earliest-known tables of values for trigonometric ratios?
- Mathematicians in India (correct)
- Hellenistic mathematicians
- The Greeks
- Sumerian astronomers
In what century did the field of trigonometry emerge?
In what century did the field of trigonometry emerge?
- 8th century AD
- 1st century AD
- 5th century BC
- 3rd century BC (correct)
What did Sumerian astronomers use for angle measure?
What did Sumerian astronomers use for angle measure?
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For what purpose are trigonometric identities commonly used?
For what purpose are trigonometric identities commonly used?
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Study Notes
Trigonometry Overview
- The main focus of trigonometry is the relationships between the sides and angles of triangles.
History of Trigonometry
- Hipparchus, a Greek mathematician, created the earliest-known tables of values for trigonometric ratios.
- The field of trigonometry emerged in the 2nd century BCE.
Early Contributions
- Sumerian astronomers used the sexagesimal (base-60) number system for angle measure, which is why we have 60 seconds in a minute and 60 minutes in an hour.
Applications of Trigonometry
- Trigonometric identities are commonly used for simplifying complex calculations and solving triangular problems in various fields like physics, engineering, and navigation.
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