In mathematics, Bhāskara I's sine approximation formula is a rational expression in one variable for the computation of the approximate values of the...

Bhāskara (c. 600 – c. 680; commonly called Bhāskara I to avoid confusion with the 12th-century mathematician Bhāskara II) was a 7th-century Indian mathematician...

by an approximation to π 2048 {\textstyle {\frac {\pi }{2048}}} would be incurred. Āryabhaṭa's sine table Bhaskara I's sine approximation formula Discrete...

(sine of the complementary angle) and proceeds to define the cotangens similarly. Bhāskara I's sine approximation formula Small-angle approximation Differentiation...

(disambiguation) Bhaskara's formula, another name (after Bhaskara II) for the quadratic formula Bhaskara's formula or Bhāskara I's sine approximation formula This...

derivative of the sine function is equal to the negative of the sine function. Madhava's sine table Bhaskara I's sine approximation formula https://www.britannica...

objects, approximation formulas based on the following approximation to the sine function (known as the Bhāskara I's sine approximation formula) is used:...

Aristarchus's inequality Bhaskara I's sine approximation formula Greek astronomy Indian astronomy Jyā, koti-jyā and utkrama-jyā Madhava's sine table Ptolemy's...

Govindasvāmi and Bhāskara II. Bhāskara I's sine approximation formula Madhava series – The infinite series for π and for the trigonometric sine, cosine, and...

trigonometric identities Bhaskara I's sine approximation formula Generating trigonometric tables Aryabhata's sine table Madhava's sine table Table of Newtonian...

Bhaskara I's sine approximation formula – Formula to estimate the sine functionPages displaying short descriptions of redirect targets Approximation theory –...

Bhāskara II ([bʰɑːskərə]; c.1114–1185), also known as Bhāskarāchārya (lit. 'Bhāskara the teacher'), was an Indian polymath, mathematician, astronomer and...

of indeterminate equations. A rational approximation of the sine function. A formula for calculating the sine of an acute angle without the use of a table...

was his mean value type formula for the inverse interpolation of the sine. He was the first mathematician to give a formula for the radius of the circle...

equations, by the Abel–Ruffini theorem.) trigonometrically numerical approximations of the roots can be found using root-finding algorithms such as Newton's...

produced a formula for calculating the sine of an acute angle without the use of a table. He also gave the following approximation formula for sin(x)...

formula in 1670. For the complex numbers the binomial theorem can be combined with de Moivre's formula to yield multiple-angle formulas for the sine and...

Plofker, Kim (2001), "The "Error" in the Indian "Taylor Series Approximation" to the Sine", Historia Mathematica, 28 (4): 283–295, doi:10.1006/hmat.2001...

Europe. 629: Bhāskara I produces the first approximation of a transcendental function with a rational function, in the sine approximation formula that bears...

also extended some results found in earlier works, including those of Bhāskara II. However, they did not combine many differing ideas under the two unifying...

arctangent, the Madhava-Newton power series to determine sine and cosine and the Taylor approximation for sine and cosine functions. In the 16th century, Jyesthadeva...

Lagadha's Vedanga Jyotisha (ca. 1st century BCE). There is also a table of [sine]s (jya), given in a single verse. The duration of the planetary revolutions...

quartic equations are solved. 7th century – India, Bhāskara I gives a rational approximation of the sine function. 7th century – India, Brahmagupta invents...

and fourth powers allowed him to calculate the volume of a paraboloid. Bhāskara II (c. 1114–1185) was acquainted with some ideas of differential calculus...

411 revolutions in a Kalpa or 56.8″/year. Bhaskara I (c. 600–680) mentions [1]94,110 revolutions in a Kalpa or 58.2″/year. Bhāskara II (c. 1150) mentions 199,699 revolutions...

be used to give a better approximation to the value of the mathematical constant π (pi) than the partial sum approximation obtained by truncating the...

75-degree intervals from 0 to 90 degrees) 7th century – Bhaskara I gives a rational approximation of the sine function 8th century – Virasena gives explicit rules...

function to be known. Evidence suggests Bhāskara II was acquainted with some ideas of differential calculus. Bhāskara also goes deeper into the 'differential...

in the title of the book. One of the major treatises on mathematics by Bhāskara II provides the solution for indeterminate equations of 1st and 2nd order...

motion machine by Bhaskara II dates to 1150. He described a wheel that he claimed would run forever. The trigonometric functions of sine and versine, from...