单词 | Cosine | ||||||||||||||||||||||||||||||||||||||||||||||
释义 | Cosine![]() Let ![]() ![]() The cosine function has a Fixed Point at 0.739085. ![]() The cosine function can be defined algebraically using the infinite sum
![]() ![]()
![]() ![]() The Fourier Transform of
where ![]() The cosine sum rule gives an expansion of the Cosine function of a multiple Angle in terms of a sum of Powers of sines and cosines,
Summing the Cosine of a multiple angle from ![]() ![]()
Similarly,
![]()
Cvijovic and Klinowski (1995) note that the following series
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Abramowitz, M. and Stegun, C. A. (Eds.). ``Circular Functions.'' §4.3 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 71-79, 1972. Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. New York: Chelsea, p. 68, 1959. Cvijovic, D. and Klinowski, J. ``Closed-Form Summation of Some Trigonometric Series.'' Math. Comput. 64, 205-210, 1995. Hansen, E. R. A Table of Series and Products. Englewood Cliffs, NJ: Prentice-Hall, 1975. Project Mathematics! Sines and Cosines, Parts I-III. Videotapes (28, 30, and 30 minutes). California Institute of Technology. Available from the Math. Assoc. Amer. Spanier, J. and Oldham, K. B. ``The Sine |
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