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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
DOI: 10.4169/college.math.j.45.1.011
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.45.1.011
Page Count: 5
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Correspondence Between Geometric and Differential Definitions of the Sine and Cosine
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Abstract

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.

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