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An Indian Form of Third-Order Taylor Series Approximation of the Sine

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Abstract

The paper describes an approximation formula for sine \((x + h)\) that differs from the first four terms of the Taylor expansion only by having 4 in place of 6 in the denominator of the fourth term. It appears in Sanskrit stanzas quoted in a work of about the fifteenth century and given here with translation and explanation.

Historia Mathematica 1 (1974), pp. 287–289. Paper read in the Mathematics Section of the 60th Session of Indian Science Congress, Chandigarh, 1973.

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Correspondence to K. Ramasubramanian .

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Ramasubramanian, K. (2019). An Indian Form of Third-Order Taylor Series Approximation of the Sine. In: Ramasubramanian, K. (eds) Gaṇitānanda. Springer, Singapore. https://doi.org/10.1007/978-981-13-1229-8_35

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