Machin's formula is given by
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There are a whole class of Machin-like formulas with various numbers of terms (although only four such formulas with only two terms). The properties of these formulas are intimately connected with cotangent identities.
Machin's Formula
See also
239, Gregory Number, Inverse Cotangent, Inverse Tangent, Machin-Like Formulas, Pi FormulasExplore with Wolfram|Alpha
References
Borwein, J. and Bailey, D. Mathematics by Experiment: Plausible Reasoning in the 21st Century. Wellesley, MA: A K Peters, p. 105, 2003.Gourdon, X. and Sebah, P. "Collection of Series for
."
http://numbers.computation.free.fr/Constants/Pi/piSeries.html.Referenced on Wolfram|Alpha
Machin's FormulaCite this as:
Weisstein, Eric W. "Machin's Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MachinsFormula.html