Trigonometry | History of geometry

Bhaskara I's sine approximation formula

In mathematics, Bhaskara I's sine approximation formula is a rational expression in one variable for the computation of the approximate values of the trigonometric sines discovered by Bhaskara I (c. 600 – c. 680), a seventh-century Indian mathematician.This formula is given in his treatise titled Mahabhaskariya. It is not known how Bhaskara I arrived at his approximation formula. However, several historians of mathematics have put forward different hypotheses as to the method Bhaskara might have used to arrive at his formula. The formula is elegant, simple and enables one to compute reasonably accurate values of trigonometric sines without using any geometry whatsoever. (Wikipedia).

Bhaskara I's sine approximation formula
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Half angle of sine given angle in degrees

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From playlist Half Angle Formulas

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👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not on the unit circle. To evaluate all we need to do is

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From playlist History of Indian Mathematics

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How to determine sine of a half angle using the formula

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From playlist Half Angle Formulas

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How to evaluate the half angle of sine

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From playlist Half Angle Formulas

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From playlist Half Angle Formulas

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From playlist Half Angle Formulas

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From playlist Half Angle Formulas

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Madhava series | Degree (angle) | Radius | Madhava's sine table | Madhava of Sangamagrama | Mathematics | Circumference | Computation | Angle | Approximation | Circle | Variable (mathematics) | Formula | Radian