What is the contribution of Aryabhatta in trigonometry?
What is the contribution of Aryabhatta in trigonometry?
Aryabhatta was the first mathematician to detail both sine and versine (1 − cos x) tables, in 3.75° intervals from 0° to 90°, to 4 decimal places.
What are any two contributions of Aryabhatta?
⭕Aryabhata was a famous Indian mathematician and astronomer. His notable contributions to the world of science and mathematics includes the theory that the earth rotates on its axis, explanations of the solar and lunar eclipses, solving of quadratic equations, place value system with zero, and approximation of pie (π).
Who introduced trigonometry?
Hipparchus
Trigonometry in the modern sense began with the Greeks. Hipparchus (c. 190–120 bce) was the first to construct a table of values for a trigonometric function.
How did Hipparchus discover trigonometry?
Hipparchus produced a table of chords, an early example of a trigonometric table. He did this by using the supplementary angle theorem, half angle formulas, and linear interpolation. Hipparchus calculated the length of the year to within 6.5 minutes and discovered the precession of the equinoxes.
Is Aryabhatta invented zero?
Aryabhata is the first of the great astronomers of the classical age of India. He was born in 476 AD in Ashmaka but later lived in Kusumapura, which his commentator Bhaskara I (629 AD) identifies with Patilputra (modern Patna). Aryabhata gave the world the digit “0” (zero) for which he became immortal.
Who invented 0 in India?
Brahmagupta
“Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628,” said Gobets. He developed a symbol for zero: a dot underneath numbers.
What are the contributions of Indian mathematicians?
As well as giving us the concept of zero, Indian mathematicians made seminal contributions to the study of trigonometry, algebra, arithmetic and negative numbers among other areas. Perhaps most significantly, the decimal system that we still employ worldwide today was first seen in India.
Did aryabhatta invented trigonometry?
His definitions of sine (jya), cosine (kojya), versine (utkrama-jya), and inverse sine (otkram jya) influenced the birth of trigonometry. He was also the first to specify sine and versine (1 − cos x) tables, in 3.75° intervals from 0° to 90°, to an accuracy of 4 decimal places.
Who is the father of mathematics?
Archimedes
Archimedes is known as the Father Of Mathematics. He lived between 287 BC – 212 BC. Syracuse, the Greek island of Sicily was his birthplace. Archimedes was serving the King Hiero II of Syracuse by solving mathematical problems and by developing interesting innovations for the king and his army.
What did Hipparchus contribute to trigonometry?
Hipparchus’s most significant contribution to mathematics may have been to develop—if not actually invent—a trigonometry based on a table of the lengths of chords in a circle of unit radius tabulated as a function of the angle subtended at the centre.
What are the contribution of Hipparchus?
A Greek mathematician and astronomer, he measured the earth-moon distance accurately, founded the mathematical discipline of trigonometry, and his combinatorics work was unequalled until 1870. Hipparchus discovered the precession of the equinoxes and observed the appearance of a new star – a nova.
Is Aryabhatta and Brahmagupta same?
Aryabhatta predated Brahmagupta. Aryabhatta would live from 476 to 550 AD, whereas Brahmagupta lived from 597 to 668 AD. Both would leave an enormous legacy in the fields of mathematics and astronomy.
What are the contributions of Aryabhatta in mathematics?
#3 He made major contributions to Trigonometry and Algebra. Aryabhatiya provides simple solutions to complex mathematical problems of the time like summing the first n integers, the squares of these integers and also their cubes. Furthermore, Aryabhatta correctly calculated the areas of a triangle and of a circle.
How accurate is Aryabhata’s value of Pi?
Aryabhatta’s value of π is a very close approximation to the modern value and the most accurate among those of the ancients. Furthermore, it is also considered that Aryabhata knew that the value of Pi was irrational.
Did Aryabhata use zero in place of null coefficients?
A French mathematician Georges Ifrah who closely followed the works of Aryabhata argued that Aryabhata has implicitly used zero in place of null coefficients but since he followed Sanskrit tradition that only contained letter and alphabets he mentioned alphabets and a dot in place of zero.
What is Aryabhatta’s versine?
Versine: He introduced the versine (versin = 1-cosine) into trigonometry. Aryabhatta was one of those ancient scholars of India who is hardly surpassed by any one else of his time in his treatise on mathematics and astronomy.
