Trigonometry History and Development 2 — Questions and Answers
Question 1: Which ancient civilization is credited with creating the first known trigonometric table, the 'Table of Chords'?
- Babylonians
- Egyptians
- Greeks (Correct answer)
- Indians
Correct answer: Greeks
Hipparchus of Nicaea, a Greek astronomer, compiled the first known table of chords around 150 BCE.
Question 2: The word 'trigonometry' derives from Greek roots meaning 'triangle' and what other concept?
- Circle
- Measure (Correct answer)
- Angle
- Length
Correct answer: Measure
Trigonometry comes from the Greek words 'trigonon' (triangle) and 'metron' (measure).
Question 3: Which medieval Persian mathematician wrote 'Treatise on the Quadrilateral,' a comprehensive work on spherical trigonometry?
- Al-Biruni
- Nasir al-Din al-Tusi (Correct answer)
- Ibn al-Haytham
- Al-Khawarizmi
Correct answer: Nasir al-Din al-Tusi
Nasir al-Din al-Tusi wrote this treatise in the 13th century, establishing trigonometry as an independent mathematical discipline.
Question 4: Who introduced the modern notation for trigonometric functions, using abbreviations like 'sin' and 'cos'?
- Leonhard Euler (Correct answer)
- Isaac Newton
- Gottfried Leibniz
- René Descartes
Correct answer: Leonhard Euler
Leonhard Euler standardized the abbreviations sin, cos, tan and other trigonometric notations in the 18th century.
Question 5: The Aryabhatiya, written around 499 CE, introduced which trigonometric concept that differed from Greek chord-based methods?
- Tangent function
- Sine function (half-chord) (Correct answer)
- Cosecant function
- Secant function
Correct answer: Sine function (half-chord)
Aryabhata used the half-chord (what we now call sine) instead of the full chord used by Greek mathematicians.
Question 6: Which European mathematician's 1533 work 'De triangulis omnimodis' helped establish trigonometry as a systematic mathematical discipline in the West?
- Nicolaus Copernicus
- Regiomontanus (Correct answer)
- François Viète
- Tycho Brahe
Correct answer: Regiomontanus
Regiomontanus (Johannes Müller) wrote 'De triangulis omnimodis,' one of the first modern European systematic treatments of trigonometry.
Question 7: The Babylonian 'Plimpton 322' tablet, dating to around 1800 BCE, is significant in trigonometry history because it contains:
- The earliest sine table
- Pythagorean triples suggesting right-triangle knowledge (Correct answer)
- The first calculation of pi
- A table of tangent values
Correct answer: Pythagorean triples suggesting right-triangle knowledge
Plimpton 322 contains a systematic list of Pythagorean triples, indicating Babylonian understanding of right-triangle relationships centuries before the Greeks.
Trigonometry History and Development 2
Which ancient civilization is credited with creating the first known trigonometric table, the 'Table of Chords'?