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Correspondence Between Geometric and Differential Definitions of the Sine and Cosine
Horia I. Petrache
The College Mathematics Journal
Vol. 45, No. 1 (January 2014), pp. 11-15
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.45.1.011
Page Count: 5
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Summary In textbooks, the familiar sine and cosine functions appear in two forms: geometrical, in the treatment of unit circles and triangles, and differential, as solutions of differential equations. These two forms correspond to two different definitions of trigonometric functions. By using elementary geometry and elementary calculus, it is shown that the two definitions are equivalent.
Copyright the Mathematical Association of America 2014