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A trigonometrical inequality

Published online by Cambridge University Press:  24 October 2008

E. H. Neville
E. H. Neville
Affiliation:
The UniversityReading
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Abstract

The inequality is

which is established by an elementary argument and is shown to lead directly to the evaluation of the integral

and to the expression of sin x as an infinite product.

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 3 , July 1951 , pp. 629 - 632
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

* 5 (1909), 98; 8 (1216), 30. The integral was the subject also of notes by A. C. Dixon, 6 (1912), 223, and M. F. Egan, 8 (1916), 299.