Questions & Answers
Browse all 18 questions from the
The History of Trigonometry study set below.
Each question shows the correct answer — select a study format above to practice interactively.
1
Which ancient civilization is credited with the earliest development of a rudimentary trigonometric system based on the shadow lengths of a gnomon?
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A
Ancient Egypt
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B
Babylonia
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C
Ancient Greece
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D
Indus Valley
2
The 'Plimpton 322' clay tablet, which contains a sophisticated list of Pythagorean triples, originates from which era?
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A
Old Babylonian period
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B
Neo-Assyrian period
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C
Achaemenid Empire
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D
Hellenistic period
3
Who is historically regarded as the 'father of trigonometry' for his compilation of the first known trigonometric table, the 'Table of Chords'?
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A
Euclid
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B
Archimedes
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C
Hipparchus
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D
Ptolemy
4
In his treatise 'Almagest', which mathematician utilized the chord function based on a circle of radius 60 to calculate astronomical positions?
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A
Claudius Ptolemy
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B
Diophantus
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C
Theon of Alexandria
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D
Heron
5
The transition from the chord-based system to the sine-based system is primarily attributed to which Indian mathematician's work, 'Aryabhatiya'?
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A
Brahmagupta
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B
Bhaskara I
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C
Aryabhata
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D
Varahamihira
6
The Sanskrit term 'jya' (chord) was mistranslated into Arabic as 'jiba', which eventually evolved into the modern term 'sine' through which language?
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A
Latin
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B
Greek
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C
Persian
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D
Hebrew
7
Which 10th-century mathematician was the first to define the six trigonometric functions as ratios of sides of right-angled triangles rather than as chords in circles?
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A
Al-Khwarizmi
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B
Al-Battani
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C
Abu al-Wafa al-Buzjani
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D
Ibn al-Haytham
8
The 'Sphaerica', a foundational text on spherical trigonometry, was authored by which Greek mathematician?
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A
Menelaus of Alexandria
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B
Apollonius
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C
Eudoxus
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D
Zenodorus
9
In 1593, which mathematician introduced the term 'trigonometria' in the title of his published work?
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A
Nicolaus Copernicus
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B
Bartholomaeus Pitiscus
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C
Johannes Kepler
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D
Francois Viete
10
Which mathematician is credited with the first systematic use of the tangent function in the 10th century for calculating the heights of objects?
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A
Al-Biruni
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B
Al-Marwazi
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C
Omar Khayyam
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D
Sharaf al-Din al-Tusi
11
Regiomontanus, a key figure in the development of European trigonometry, wrote which comprehensive text that separated trigonometry from astronomy?
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A
De Triangulis omnimodis
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B
Canon Doctrinae Triangulorum
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C
Tabulae Directionum
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D
Opus Palatinum
12
The law of cosines, as applied in its modern form to all triangles, was historically synthesized through the work of which French mathematician?
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A
Pierre de Fermat
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B
Blaise Pascal
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C
Francois Viete
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D
Gilles Personne de Roberval
13
Which mathematician utilized the infinite series for sine and cosine, now known as Taylor series, long before Taylor's formal publication?
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A
Madhava of Sangamagrama
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B
Bhaskara II
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C
Parameshvara
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D
Nilakantha Somayaji
14
Who was the first mathematician to use the modern notations for sine, cosine, and tangent in his textbooks?
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A
Leonhard Euler
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B
Isaac Newton
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C
John Wallis
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D
Abraham de Moivre
15
The term 'secant' was introduced into the trigonometric vocabulary by which Danish mathematician in the 16th century?
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A
Tycho Brahe
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B
Thomas Fincke
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C
Ole Rømer
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D
Caspar Wessel
16
Which Islamic scientist calculated the sine of one degree with high precision by solving a cubic equation?
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A
Al-Kashi
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B
Nasir al-Din al-Tusi
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C
Ibn Yunus
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D
Al-Farabi
17
In 1748, which seminal work did Leonhard Euler publish that established the modern analytical approach to trigonometry using exponential functions?
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A
Institutiones Calculi Differentialis
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B
Introductio in analysin infinitorum
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C
Elements of Algebra
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D
Methodus Inveniendi
18
The first known use of 'sin' as an abbreviation in English language mathematical literature appeared in a work by which mathematician?
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A
William Oughtred
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B
Edmund Gunter
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C
Henry Briggs
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D
John Napier
