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Questions and Answers
In which century did trigonometry emerge in the Hellenistic world?
In which century did trigonometry emerge in the Hellenistic world?
- 5th century BC
- 3rd century BC (correct)
- 2nd century BC
- 4th century BC
Which ancient civilization focused on the calculation of chords in trigonometry?
Which ancient civilization focused on the calculation of chords in trigonometry?
- Greeks (correct)
- Indians
- Babylonians
- Sumerians
What is the branch of mathematics concerned with relationships between angles and ratios of lengths?
What is the branch of mathematics concerned with relationships between angles and ratios of lengths?
- Algebra
- Geometry
- Trigonometry (correct)
- Calculus
What are trigonometric identities commonly used for?
What are trigonometric identities commonly used for?
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Which ancient civilization studied the ratios of the sides of similar triangles but did not turn it into a systematic method for finding sides and angles of triangles?
Which ancient civilization studied the ratios of the sides of similar triangles but did not turn it into a systematic method for finding sides and angles of triangles?
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Study Notes
Emergence of Trigonometry
- Trigonometry emerged in the Hellenistic world during the 3rd century BCE.
Calculation of Chords
- The ancient civilization that focused on the calculation of chords in trigonometry was the Greeks.
Branch of Mathematics
- Trigonometry is the branch of mathematics that deals with the relationships between angles and the ratios of lengths of their sides.
Trigonometric Identities
- Trigonometric identities are commonly used for simplifying expressions, solving equations, and modeling periodic phenomena.
Ratios of Similar Triangles
- The ancient Egyptians studied the ratios of the sides of similar triangles but did not develop a systematic method for calculating the sides and angles of triangles.
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