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Trigonometric History and Constants

Trigonometry

Historical milestones and numerical foundations of trigonometry.

history mathematics constants geometry

8 Questions Hard Ages 16+ Oct 14, 2026

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About this Study Set

This study set covers Trigonometry through 8 practice questions. Historical milestones and numerical foundations of trigonometry. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

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Browse all 8 questions from the Trigonometric History and Constants study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 In the 2nd century BCE, which Greek astronomer compiled the first known table of chords, essentially laying the foundations for modern trigonometric tables?

A Hipparchus of Nicaea
B Ptolemy
C Aristarchus of Samos
D Eratosthenes

2 The term 'sinus' (sine) was introduced into Latin in 1145 CE by which translator, who translated Al-Battani's work from Arabic?

A Robert of Chester
B Gerard of Cremona
C Adelard of Bath
D William of Moerbeke

3 What is the exact value of the sine of 18 degrees, expressed in radical form as identified in classical algebraic geometry?

A (sqrt(5)-1)/4
B (sqrt(5)+1)/2
C sqrt(10-2*sqrt(5))/4
D (sqrt(3)-1)/2

4 In which century did the Indian mathematician Aryabhata introduce the concept of the 'jya' (sine) and 'kojya' (cosine) in his treatise 'Aryabhatiya'?

A 5th century CE
B 6th century CE
C 7th century CE
D 8th century CE

5 The law of cosines, as expressed in the form c^2 = a^2 + b^2 - 2ab cos(C), was first formally generalized in the work of which 16th-century mathematician?

A François Viète
B Regiomontanus
C Rheticus
D Gerolamo Cardano

6 Who was the first mathematician to define trigonometric functions as ratios rather than lengths of lines in a circle, in his 1748 work 'Introductio in analysin infinitorum'?

A Leonhard Euler
B Isaac Newton
C Brook Taylor
D John Wallis

7 The value of the 'sine' function for an angle of 3 degrees can be exactly represented using radicals involving which sequence of root extractions?

A Nested square roots
B Cube roots only
C Fourth roots only
D Sixth roots

8 In his 1551 publication 'Canon doctrinae triangulorum', which mathematician was the first to define all six trigonometric functions as ratios of the sides of a right triangle?

A Georg Joachim Rheticus
B Nicolaus Copernicus
C Thomas Fincke
D Pitiscus

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