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A Note on the Ratio of Arc Length to Chordal Length

by Paul Eenigenburg (Western Michigan University)

This article originally appeared in:
College Mathematics Journal
November, 1997

Subject classification(s): Geometry and Topology | Trigonometry | Trigonometric Functions
Applicable Course(s): 3.1 Mainstream Calculus I

The article illustrates a gap in some not-so-rigorous methods used by authors to use arc length to show the derivative of the sine function is the cosine function.

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Capsule Course Topic(s):
One-Variable Calculus | Differentiation: Calculation Rules
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