FORMULE PROSTAFERESI PDF

Mazulkis You can track the performance of Matematica 2 every hour of every day across different countries, categories and devices. Notice how similar the above algorithm is to the process for multiplying using logarithms, which follows these steps: The models used to compute these were based on spherical trigonometrywhich relates the angles orostaferesi arc lengths of spherical triangles see diagram, right using formulas such as:. Another effective approach to enhancing prostafferesi accuracy is linear interpolationwhich chooses a value between two adjacent table values. By using this site, you agree to the Terms of Prrostaferesi and Privacy Policy. Average the cosine of the sum of the angles, For example, would become 0.

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Although sums, differences, and averages are easy to compute with high precision, even by hand, trigonometric functions and especially inverse trigonometric functions are not. For this reason, the accuracy of the method depends to a large extent on the accuracy and detail of the trigonometric tables used. For example, a sine table with an entry for each degree can be off by as much as 0.

Tables were painstakingly constructed for prosthaphaeresis with values for every second, or th of a degree. One solution is to include more table values in this area. For example, would become 0.

Another effective approach to enhancing the accuracy is linear interpolation , which chooses a value between two adjacent table values. The actual sine is 0.

A table of cosines with only entries combined with linear interpolation is as accurate as a table with about entries without it. Even a quick estimate of the interpolated value is often much closer than the nearest table value. See lookup table for more details. Reverse identities[ edit ] The product formulas can also be manipulated to obtain formulas that express addition in terms of multiplication.

Although less useful for computing products, these are still useful for deriving trigonometric results: sin.

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