Author:
Rosenbaum R. A.,Segal S. L.
Abstract
Recent articles on equations characterising the trigonometric functions ([1], [2]) prompt a consideration of still another equation, which might be classified under the heading of “Students’ Mathematical Mythology” In [3], Mr. Heafford multiplies the “obvious” sin (x + y) = sin x + sin y by the equally “clear” sin (x − y) = sin x − sin y to obtain the (correct!) result, sin (x+y) sin(x − y) = sin2x − sin2y.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
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1. Bibliography;Introduction to Functional Equations;2011-02-08
2. A comparative study of functional equations characterising sine and cosine;Aequationes Mathematicae;1986-12
3. Bibliography;Mathematics in Science and Engineering;1966
4. Continuous Solutions of the Functional Equation f(x + y) + f(x - y) = 2f(x)f(y);The American Mathematical Monthly;1963-04
5. Mathematical Notes;The American Mathematical Monthly;1963-03