Trigonometry Through Time
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Questions and Answers

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?

  • Mathematicians in India (correct)
  • Hellenistic mathematicians
  • The Greeks
  • Sumerian astronomers
  • 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?

    <p>360 degrees division</p> Signup and view all the answers

    For what purpose are trigonometric identities commonly used?

    <p>To rewrite trigonometrical expressions</p> Signup and view all the answers

    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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    Description

    Test your knowledge of trigonometry with this quiz! Explore angles, ratios, and geometric relationships in this branch of mathematics that has roots in ancient civilizations. Challenge yourself with questions inspired by the historical development of trigonometry and its applications in various fields.

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