Question

Bhaskara's contribution to maths trigonometry

Answer 1

Some of Bhaskara's contributions to mathematics include the following:

A proof of the Pythagorean Theorem by calculating the same area in two different ways and then canceling out terms to get a + b = c.

In Lilavati, solutions of quadric , cubic and quartic indeterminate equation are explained.

Solutions of indeterminate quadratic equations (of the type ax + b = y).

Integer solutions of linear and quadratic indeterminate equations (Kuttaka). The rules he gives are (in effect) the same as those given by the Renaissance European mathematicians of the 17th century

A cyclic Chakravala method for solving indeterminate equations of the form ax + bx + c = y. The solution to this equation was traditionally attributed to William Brouncker in 1657, though his method was more difficult than the chakravalamethod.

The first general method for finding the solutions of the problem x − ny = 1 (so-called “Pell’s equation “)was given by Bhaskara2

.Preliminary concept of mathematical analysis.

Preliminary concept of infinitesimal Calculus, along with notable contributions towards integral calculus .

 Traces of the general mean value theorem are also found in his works.Calculated the derivatives of trigonometric functions and formulae.

Answer 2

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