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Talk:Bhāskara I's sine approximation formula

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Error in Bhaskara I's sine approximation formula

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This article is generally excellent, but one plot it contains is erroneous. That would be the plot of "relative error", which shows the error with respect to the actual sine function to be maximum at the endpoints of the domain, i.e. 0 and pi (or zero and 180 degrees for the degree version). The "relative error" is evidently calculated by (BhaskaraSine(x)-sine(x))*100/sine(x). In fact, both BhaskaraSine(x) and sine(x) are zero at those endpoints, so the plot is in error, and therefore misleading. I've tried using L'Hopital's Rule, but even several applications still show a finite error where there should be none. The problem, of course, is that the ratio is undefined (0/0), and it is strange that many math programs give a finite result nevertheless. I use Maple, and get the same relative error plot. It makes a difference in the application for which I use this approximation. Mskelly70 (talk) 22:07, 21 April 2025 (UTC)[reply]