Talk:Āryabhaṭa's sine table

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Accuracy and precision[edit]

The last column of the table has more significant figures than is justified. Example, for 60 degrees a jya of 2978' is compared to a "correct" value of 3438 times the sine of 60 degrees. But 3438 itself is an approximation to the radius of the circle with circumference of 21600. Instead of 3438 and 2978 the precise values are \frac{360 \times 60}{2 \pi} and \frac{360 \times 60}{2 \pi} \, \sin 60^{\circ} = \frac{5400 \sqrt{3}}{\pi} or 3437.74677078493925+ and 2977.176035277677+, respectively. 24.6.25.218 (talk) 15:33, 7 May 2012 (UTC)